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Finding the Third Proportional to 302,844,245.63 and 657,374,241.38

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Solution

The third proportional to 302,844,245.63 and 657,374,241.38 is: 1,426,941,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,844,245.63 : 657,374,241.38 = 657,374,241.38 : x
  2. Step 2: Convert to fraction form
    302,844,245.63/657,374,241.38 = 657,374,241.38/x
  3. Step 3: Cross multiply
    302,844,245.63x = 657,374,241.38 × 657,374,241.38
  4. Step 4: Simplify right side
    302,844,245.63x = 432,140,893,223,356,736
  5. Step 5: Solve for x
    x = 432,140,893,223,356,736/302,844,245.63
  6. Step 6: Final answer
    x = 1,426,941,074.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.