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Finding the Third Proportional to 436,092 and 656,298

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Solution

The third proportional to 436,092 and 656,298 is: 987,697.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,092 : 656,298 = 656,298 : x
  2. Step 2: Convert to fraction form
    436,092/656,298 = 656,298/x
  3. Step 3: Cross multiply
    436,092x = 656,298 × 656,298
  4. Step 4: Simplify right side
    436,092x = 430,727,064,804
  5. Step 5: Solve for x
    x = 430,727,064,804/436,092
  6. Step 6: Final answer
    x = 987,697.70

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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.