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Finding the Third Proportional to 269,730 and 581,529

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Solution

The third proportional to 269,730 and 581,529 is: 1,253,757.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,730 : 581,529 = 581,529 : x
  2. Step 2: Convert to fraction form
    269,730/581,529 = 581,529/x
  3. Step 3: Cross multiply
    269,730x = 581,529 × 581,529
  4. Step 4: Simplify right side
    269,730x = 338,175,977,841
  5. Step 5: Solve for x
    x = 338,175,977,841/269,730
  6. Step 6: Final answer
    x = 1,253,757.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.