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Finding the Third Proportional to 468,919.13 and 726,544.69

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Solution

The third proportional to 468,919.13 and 726,544.69 is: 1,125,710.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,919.13 : 726,544.69 = 726,544.69 : x
  2. Step 2: Convert to fraction form
    468,919.13/726,544.69 = 726,544.69/x
  3. Step 3: Cross multiply
    468,919.13x = 726,544.69 × 726,544.69
  4. Step 4: Simplify right side
    468,919.13x = 527,867,182,934.47
  5. Step 5: Solve for x
    x = 527,867,182,934.47/468,919.13
  6. Step 6: Final answer
    x = 1,125,710.50

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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.