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Finding the Third Proportional to 302,844,359.25 and 657,374,433.75

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Solution

The third proportional to 302,844,359.25 and 657,374,433.75 is: 1,426,941,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,844,359.25 : 657,374,433.75 = 657,374,433.75 : x
  2. Step 2: Convert to fraction form
    302,844,359.25/657,374,433.75 = 657,374,433.75/x
  3. Step 3: Cross multiply
    302,844,359.25x = 657,374,433.75 × 657,374,433.75
  4. Step 4: Simplify right side
    302,844,359.25x = 432,141,146,148,133,120
  5. Step 5: Solve for x
    x = 432,141,146,148,133,120/302,844,359.25
  6. Step 6: Final answer
    x = 1,426,941,374.17

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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.