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Finding the Third Proportional to 524,897 and 739,675

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Solution

The third proportional to 524,897 and 739,675 is: 1,042,336.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,897 : 739,675 = 739,675 : x
  2. Step 2: Convert to fraction form
    524,897/739,675 = 739,675/x
  3. Step 3: Cross multiply
    524,897x = 739,675 × 739,675
  4. Step 4: Simplify right side
    524,897x = 547,119,105,625
  5. Step 5: Solve for x
    x = 547,119,105,625/524,897
  6. Step 6: Final answer
    x = 1,042,336.13

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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.