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Finding the Third Proportional to 406,092 and 595,287

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Solution

The third proportional to 406,092 and 595,287 is: 872,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,092 : 595,287 = 595,287 : x
  2. Step 2: Convert to fraction form
    406,092/595,287 = 595,287/x
  3. Step 3: Cross multiply
    406,092x = 595,287 × 595,287
  4. Step 4: Simplify right side
    406,092x = 354,366,612,369
  5. Step 5: Solve for x
    x = 354,366,612,369/406,092
  6. Step 6: Final answer
    x = 872,626.43

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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.