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Finding the Third Proportional to 253,113 and 534,687

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Solution

The third proportional to 253,113 and 534,687 is: 1,129,496.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,113 : 534,687 = 534,687 : x
  2. Step 2: Convert to fraction form
    253,113/534,687 = 534,687/x
  3. Step 3: Cross multiply
    253,113x = 534,687 × 534,687
  4. Step 4: Simplify right side
    253,113x = 285,890,187,969
  5. Step 5: Solve for x
    x = 285,890,187,969/253,113
  6. Step 6: Final answer
    x = 1,129,496.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.