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Finding the Third Proportional to 532,642 and 749,198

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Solution

The third proportional to 532,642 and 749,198 is: 1,053,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,642 : 749,198 = 749,198 : x
  2. Step 2: Convert to fraction form
    532,642/749,198 = 749,198/x
  3. Step 3: Cross multiply
    532,642x = 749,198 × 749,198
  4. Step 4: Simplify right side
    532,642x = 561,297,643,204
  5. Step 5: Solve for x
    x = 561,297,643,204/532,642
  6. Step 6: Final answer
    x = 1,053,799.07

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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.