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Finding the Third Proportional to 217,702.13 and 461,854.13

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Solution

The third proportional to 217,702.13 and 461,854.13 is: 979,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,702.13 : 461,854.13 = 461,854.13 : x
  2. Step 2: Convert to fraction form
    217,702.13/461,854.13 = 461,854.13/x
  3. Step 3: Cross multiply
    217,702.13x = 461,854.13 × 461,854.13
  4. Step 4: Simplify right side
    217,702.13x = 213,309,232,779.52
  5. Step 5: Solve for x
    x = 213,309,232,779.52/217,702.13
  6. Step 6: Final answer
    x = 979,821.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.