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Finding the Third Proportional to 261,998 and 392,592

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Solution

The third proportional to 261,998 and 392,592 is: 588,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,998 : 392,592 = 392,592 : x
  2. Step 2: Convert to fraction form
    261,998/392,592 = 392,592/x
  3. Step 3: Cross multiply
    261,998x = 392,592 × 392,592
  4. Step 4: Simplify right side
    261,998x = 154,128,478,464
  5. Step 5: Solve for x
    x = 154,128,478,464/261,998
  6. Step 6: Final answer
    x = 588,281.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.