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Finding the Third Proportional to 360,667 and 784,028

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Solution

The third proportional to 360,667 and 784,028 is: 1,704,341.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,667 : 784,028 = 784,028 : x
  2. Step 2: Convert to fraction form
    360,667/784,028 = 784,028/x
  3. Step 3: Cross multiply
    360,667x = 784,028 × 784,028
  4. Step 4: Simplify right side
    360,667x = 614,699,904,784
  5. Step 5: Solve for x
    x = 614,699,904,784/360,667
  6. Step 6: Final answer
    x = 1,704,341.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.