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Finding the Third Proportional to 305,785.13 and 652,318.31

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Solution

The third proportional to 305,785.13 and 652,318.31 is: 1,391,562.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,785.13 : 652,318.31 = 652,318.31 : x
  2. Step 2: Convert to fraction form
    305,785.13/652,318.31 = 652,318.31/x
  3. Step 3: Cross multiply
    305,785.13x = 652,318.31 × 652,318.31
  4. Step 4: Simplify right side
    305,785.13x = 425,519,180,822.85
  5. Step 5: Solve for x
    x = 425,519,180,822.85/305,785.13
  6. Step 6: Final answer
    x = 1,391,562.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.