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Finding the Third Proportional to 436,632 and 656,569.50

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Solution

The third proportional to 436,632 and 656,569.50 is: 987,292.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,632 : 656,569.50 = 656,569.50 : x
  2. Step 2: Convert to fraction form
    436,632/656,569.50 = 656,569.50/x
  3. Step 3: Cross multiply
    436,632x = 656,569.50 × 656,569.50
  4. Step 4: Simplify right side
    436,632x = 431,083,508,330.25
  5. Step 5: Solve for x
    x = 431,083,508,330.25/436,632
  6. Step 6: Final answer
    x = 987,292.52

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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.