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Finding the Third Proportional to 406,098 and 595,294

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Solution

The third proportional to 406,098 and 595,294 is: 872,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,098 : 595,294 = 595,294 : x
  2. Step 2: Convert to fraction form
    406,098/595,294 = 595,294/x
  3. Step 3: Cross multiply
    406,098x = 595,294 × 595,294
  4. Step 4: Simplify right side
    406,098x = 354,374,946,436
  5. Step 5: Solve for x
    x = 354,374,946,436/406,098
  6. Step 6: Final answer
    x = 872,634.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.