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Finding the Third Proportional to 532,102 and 782,592

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Solution

The third proportional to 532,102 and 782,592 is: 1,151,001.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,102 : 782,592 = 782,592 : x
  2. Step 2: Convert to fraction form
    532,102/782,592 = 782,592/x
  3. Step 3: Cross multiply
    532,102x = 782,592 × 782,592
  4. Step 4: Simplify right side
    532,102x = 612,450,238,464
  5. Step 5: Solve for x
    x = 612,450,238,464/532,102
  6. Step 6: Final answer
    x = 1,151,001.57

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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.