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Finding the Third Proportional to 349,246.69 and 762,463.13

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Solution

The third proportional to 349,246.69 and 762,463.13 is: 1,664,582.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,246.69 : 762,463.13 = 762,463.13 : x
  2. Step 2: Convert to fraction form
    349,246.69/762,463.13 = 762,463.13/x
  3. Step 3: Cross multiply
    349,246.69x = 762,463.13 × 762,463.13
  4. Step 4: Simplify right side
    349,246.69x = 581,350,016,984.77
  5. Step 5: Solve for x
    x = 581,350,016,984.77/349,246.69
  6. Step 6: Final answer
    x = 1,664,582.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.