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Finding the Third Proportional to 206,884.13 and 468,595.13

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Solution

The third proportional to 206,884.13 and 468,595.13 is: 1,061,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,884.13 : 468,595.13 = 468,595.13 : x
  2. Step 2: Convert to fraction form
    206,884.13/468,595.13 = 468,595.13/x
  3. Step 3: Cross multiply
    206,884.13x = 468,595.13 × 468,595.13
  4. Step 4: Simplify right side
    206,884.13x = 219,581,391,173.77
  5. Step 5: Solve for x
    x = 219,581,391,173.77/206,884.13
  6. Step 6: Final answer
    x = 1,061,373.81

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.