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Finding the Third Proportional to 550,729.13 and 851,104.13

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Solution

The third proportional to 550,729.13 and 851,104.13 is: 1,315,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,729.13 : 851,104.13 = 851,104.13 : x
  2. Step 2: Convert to fraction form
    550,729.13/851,104.13 = 851,104.13/x
  3. Step 3: Cross multiply
    550,729.13x = 851,104.13 × 851,104.13
  4. Step 4: Simplify right side
    550,729.13x = 724,378,231,592.02
  5. Step 5: Solve for x
    x = 724,378,231,592.02/550,729.13
  6. Step 6: Final answer
    x = 1,315,307.65

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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.