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Finding the Third Proportional to 302,844,258.75 and 657,374,276.63

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Solution

The third proportional to 302,844,258.75 and 657,374,276.63 is: 1,426,941,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,844,258.75 : 657,374,276.63 = 657,374,276.63 : x
  2. Step 2: Convert to fraction form
    302,844,258.75/657,374,276.63 = 657,374,276.63/x
  3. Step 3: Cross multiply
    302,844,258.75x = 657,374,276.63 × 657,374,276.63
  4. Step 4: Simplify right side
    302,844,258.75x = 432,140,939,568,242,048
  5. Step 5: Solve for x
    x = 432,140,939,568,242,048/302,844,258.75
  6. Step 6: Final answer
    x = 1,426,941,165.57

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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.