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Finding the Third Proportional to 460,531.13 and 991,046.25

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Solution

The third proportional to 460,531.13 and 991,046.25 is: 2,132,695.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,531.13 : 991,046.25 = 991,046.25 : x
  2. Step 2: Convert to fraction form
    460,531.13/991,046.25 = 991,046.25/x
  3. Step 3: Cross multiply
    460,531.13x = 991,046.25 × 991,046.25
  4. Step 4: Simplify right side
    460,531.13x = 982,172,669,639.06
  5. Step 5: Solve for x
    x = 982,172,669,639.06/460,531.13
  6. Step 6: Final answer
    x = 2,132,695.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.