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Finding the Third Proportional to 415,343 and 650,694

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Solution

The third proportional to 415,343 and 650,694 is: 1,019,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,343 : 650,694 = 650,694 : x
  2. Step 2: Convert to fraction form
    415,343/650,694 = 650,694/x
  3. Step 3: Cross multiply
    415,343x = 650,694 × 650,694
  4. Step 4: Simplify right side
    415,343x = 423,402,681,636
  5. Step 5: Solve for x
    x = 423,402,681,636/415,343
  6. Step 6: Final answer
    x = 1,019,404.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.