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Finding the Third Proportional to 532,589 and 749,122

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Solution

The third proportional to 532,589 and 749,122 is: 1,053,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,589 : 749,122 = 749,122 : x
  2. Step 2: Convert to fraction form
    532,589/749,122 = 749,122/x
  3. Step 3: Cross multiply
    532,589x = 749,122 × 749,122
  4. Step 4: Simplify right side
    532,589x = 561,183,770,884
  5. Step 5: Solve for x
    x = 561,183,770,884/532,589
  6. Step 6: Final answer
    x = 1,053,690.13

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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.