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Finding the Third Proportional to 726,732 and 1,115,520.75

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Solution

The third proportional to 726,732 and 1,115,520.75 is: 1,712,304.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,732 : 1,115,520.75 = 1,115,520.75 : x
  2. Step 2: Convert to fraction form
    726,732/1,115,520.75 = 1,115,520.75/x
  3. Step 3: Cross multiply
    726,732x = 1,115,520.75 × 1,115,520.75
  4. Step 4: Simplify right side
    726,732x = 1,244,386,543,680.56
  5. Step 5: Solve for x
    x = 1,244,386,543,680.56/726,732
  6. Step 6: Final answer
    x = 1,712,304.60

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.