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Finding the Third Proportional to 532,638 and 749,192

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Solution

The third proportional to 532,638 and 749,192 is: 1,053,790.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,638 : 749,192 = 749,192 : x
  2. Step 2: Convert to fraction form
    532,638/749,192 = 749,192/x
  3. Step 3: Cross multiply
    532,638x = 749,192 × 749,192
  4. Step 4: Simplify right side
    532,638x = 561,288,652,864
  5. Step 5: Solve for x
    x = 561,288,652,864/532,638
  6. Step 6: Final answer
    x = 1,053,790.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.