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Finding the Third Proportional to 350,218.69 and 513,707.91

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Solution

The third proportional to 350,218.69 and 513,707.91 is: 753,517.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,218.69 : 513,707.91 = 513,707.91 : x
  2. Step 2: Convert to fraction form
    350,218.69/513,707.91 = 513,707.91/x
  3. Step 3: Cross multiply
    350,218.69x = 513,707.91 × 513,707.91
  4. Step 4: Simplify right side
    350,218.69x = 263,895,812,943.76
  5. Step 5: Solve for x
    x = 263,895,812,943.76/350,218.69
  6. Step 6: Final answer
    x = 753,517.22

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Why These Related Problems?

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