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Finding the Third Proportional to 427,782 and 598,098

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Solution

The third proportional to 427,782 and 598,098 is: 836,223.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,782 : 598,098 = 598,098 : x
  2. Step 2: Convert to fraction form
    427,782/598,098 = 598,098/x
  3. Step 3: Cross multiply
    427,782x = 598,098 × 598,098
  4. Step 4: Simplify right side
    427,782x = 357,721,217,604
  5. Step 5: Solve for x
    x = 357,721,217,604/427,782
  6. Step 6: Final answer
    x = 836,223.16

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.