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Finding the Third Proportional to 509,658.75 and 612,073.13

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Solution

The third proportional to 509,658.75 and 612,073.13 is: 735,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,658.75 : 612,073.13 = 612,073.13 : x
  2. Step 2: Convert to fraction form
    509,658.75/612,073.13 = 612,073.13/x
  3. Step 3: Cross multiply
    509,658.75x = 612,073.13 × 612,073.13
  4. Step 4: Simplify right side
    509,658.75x = 374,633,510,347.27
  5. Step 5: Solve for x
    x = 374,633,510,347.27/509,658.75
  6. Step 6: Final answer
    x = 735,067.36

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Why These Related Problems?

These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.