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Finding the Third Proportional to 468,939.38 and 726,575.06

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Solution

The third proportional to 468,939.38 and 726,575.06 is: 1,125,756.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,939.38 : 726,575.06 = 726,575.06 : x
  2. Step 2: Convert to fraction form
    468,939.38/726,575.06 = 726,575.06/x
  3. Step 3: Cross multiply
    468,939.38x = 726,575.06 × 726,575.06
  4. Step 4: Simplify right side
    468,939.38x = 527,911,321,446.88
  5. Step 5: Solve for x
    x = 527,911,321,446.88/468,939.38
  6. Step 6: Final answer
    x = 1,125,756.01

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