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Finding the Third Proportional to 468,964 and 726,612

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Solution

The third proportional to 468,964 and 726,612 is: 1,125,811.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,964 : 726,612 = 726,612 : x
  2. Step 2: Convert to fraction form
    468,964/726,612 = 726,612/x
  3. Step 3: Cross multiply
    468,964x = 726,612 × 726,612
  4. Step 4: Simplify right side
    468,964x = 527,964,998,544
  5. Step 5: Solve for x
    x = 527,964,998,544/468,964
  6. Step 6: Final answer
    x = 1,125,811.36

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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.