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Finding the Third Proportional to 550,982.53 and 851,407.59

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Solution

The third proportional to 550,982.53 and 851,407.59 is: 1,315,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,982.53 : 851,407.59 = 851,407.59 : x
  2. Step 2: Convert to fraction form
    550,982.53/851,407.59 = 851,407.59/x
  3. Step 3: Cross multiply
    550,982.53x = 851,407.59 × 851,407.59
  4. Step 4: Simplify right side
    550,982.53x = 724,894,890,695.17
  5. Step 5: Solve for x
    x = 724,894,890,695.17/550,982.53
  6. Step 6: Final answer
    x = 1,315,640.42

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Why These Related Problems?

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