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Finding the Third Proportional to 468,964.50 and 726,612.75

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Solution

The third proportional to 468,964.50 and 726,612.75 is: 1,125,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,964.50 : 726,612.75 = 726,612.75 : x
  2. Step 2: Convert to fraction form
    468,964.50/726,612.75 = 726,612.75/x
  3. Step 3: Cross multiply
    468,964.50x = 726,612.75 × 726,612.75
  4. Step 4: Simplify right side
    468,964.50x = 527,966,088,462.56
  5. Step 5: Solve for x
    x = 527,966,088,462.56/468,964.50
  6. Step 6: Final answer
    x = 1,125,812.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.