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Finding the Third Proportional to 532,151 and 782,634

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Solution

The third proportional to 532,151 and 782,634 is: 1,151,019.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,151 : 782,634 = 782,634 : x
  2. Step 2: Convert to fraction form
    532,151/782,634 = 782,634/x
  3. Step 3: Cross multiply
    532,151x = 782,634 × 782,634
  4. Step 4: Simplify right side
    532,151x = 612,515,977,956
  5. Step 5: Solve for x
    x = 612,515,977,956/532,151
  6. Step 6: Final answer
    x = 1,151,019.12

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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.