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Finding the Third Proportional to 632,536 and 985,092

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Solution

The third proportional to 632,536 and 985,092 is: 1,534,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,536 : 985,092 = 985,092 : x
  2. Step 2: Convert to fraction form
    632,536/985,092 = 985,092/x
  3. Step 3: Cross multiply
    632,536x = 985,092 × 985,092
  4. Step 4: Simplify right side
    632,536x = 970,406,248,464
  5. Step 5: Solve for x
    x = 970,406,248,464/632,536
  6. Step 6: Final answer
    x = 1,534,151.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.