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Finding the Third Proportional to 701,298 and 992,331

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Solution

The third proportional to 701,298 and 992,331 is: 1,404,140.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,298 : 992,331 = 992,331 : x
  2. Step 2: Convert to fraction form
    701,298/992,331 = 992,331/x
  3. Step 3: Cross multiply
    701,298x = 992,331 × 992,331
  4. Step 4: Simplify right side
    701,298x = 984,720,813,561
  5. Step 5: Solve for x
    x = 984,720,813,561/701,298
  6. Step 6: Final answer
    x = 1,404,140.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.