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Finding the Third Proportional to 415,373 and 645,092

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Solution

The third proportional to 415,373 and 645,092 is: 1,001,855.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,373 : 645,092 = 645,092 : x
  2. Step 2: Convert to fraction form
    415,373/645,092 = 645,092/x
  3. Step 3: Cross multiply
    415,373x = 645,092 × 645,092
  4. Step 4: Simplify right side
    415,373x = 416,143,688,464
  5. Step 5: Solve for x
    x = 416,143,688,464/415,373
  6. Step 6: Final answer
    x = 1,001,855.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.