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Finding the Third Proportional to 550,988.06 and 851,416.88

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Solution

The third proportional to 550,988.06 and 851,416.88 is: 1,315,655.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,988.06 : 851,416.88 = 851,416.88 : x
  2. Step 2: Convert to fraction form
    550,988.06/851,416.88 = 851,416.88/x
  3. Step 3: Cross multiply
    550,988.06x = 851,416.88 × 851,416.88
  4. Step 4: Simplify right side
    550,988.06x = 724,910,695,034.77
  5. Step 5: Solve for x
    x = 724,910,695,034.77/550,988.06
  6. Step 6: Final answer
    x = 1,315,655.90

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