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Finding the Third Proportional to 532,646 and 749,204

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Solution

The third proportional to 532,646 and 749,204 is: 1,053,808.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,646 : 749,204 = 749,204 : x
  2. Step 2: Convert to fraction form
    532,646/749,204 = 749,204/x
  3. Step 3: Cross multiply
    532,646x = 749,204 × 749,204
  4. Step 4: Simplify right side
    532,646x = 561,306,633,616
  5. Step 5: Solve for x
    x = 561,306,633,616/532,646
  6. Step 6: Final answer
    x = 1,053,808.03

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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.