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Finding the Third Proportional to 532,884 and 797,704

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Solution

The third proportional to 532,884 and 797,704 is: 1,194,127.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,884 : 797,704 = 797,704 : x
  2. Step 2: Convert to fraction form
    532,884/797,704 = 797,704/x
  3. Step 3: Cross multiply
    532,884x = 797,704 × 797,704
  4. Step 4: Simplify right side
    532,884x = 636,331,671,616
  5. Step 5: Solve for x
    x = 636,331,671,616/532,884
  6. Step 6: Final answer
    x = 1,194,127.94

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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.