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Finding the Third Proportional to 349,737.75 and 513,010.13

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Solution

The third proportional to 349,737.75 and 513,010.13 is: 752,504.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,737.75 : 513,010.13 = 513,010.13 : x
  2. Step 2: Convert to fraction form
    349,737.75/513,010.13 = 513,010.13/x
  3. Step 3: Cross multiply
    349,737.75x = 513,010.13 × 513,010.13
  4. Step 4: Simplify right side
    349,737.75x = 263,179,388,352.52
  5. Step 5: Solve for x
    x = 263,179,388,352.52/349,737.75
  6. Step 6: Final answer
    x = 752,504.95

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.