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Finding the Third Proportional to 230,614 and 500,592

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Solution

The third proportional to 230,614 and 500,592 is: 1,086,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,614 : 500,592 = 500,592 : x
  2. Step 2: Convert to fraction form
    230,614/500,592 = 500,592/x
  3. Step 3: Cross multiply
    230,614x = 500,592 × 500,592
  4. Step 4: Simplify right side
    230,614x = 250,592,350,464
  5. Step 5: Solve for x
    x = 250,592,350,464/230,614
  6. Step 6: Final answer
    x = 1,086,631.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.