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Finding the Third Proportional to 532,581 and 749,109

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Solution

The third proportional to 532,581 and 749,109 is: 1,053,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,581 : 749,109 = 749,109 : x
  2. Step 2: Convert to fraction form
    532,581/749,109 = 749,109/x
  3. Step 3: Cross multiply
    532,581x = 749,109 × 749,109
  4. Step 4: Simplify right side
    532,581x = 561,164,293,881
  5. Step 5: Solve for x
    x = 561,164,293,881/532,581
  6. Step 6: Final answer
    x = 1,053,669.38

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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.