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Finding the Third Proportional to 550,577.25 and 966,046.50

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Solution

The third proportional to 550,577.25 and 966,046.50 is: 1,695,031.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,577.25 : 966,046.50 = 966,046.50 : x
  2. Step 2: Convert to fraction form
    550,577.25/966,046.50 = 966,046.50/x
  3. Step 3: Cross multiply
    550,577.25x = 966,046.50 × 966,046.50
  4. Step 4: Simplify right side
    550,577.25x = 933,245,840,162.25
  5. Step 5: Solve for x
    x = 933,245,840,162.25/550,577.25
  6. Step 6: Final answer
    x = 1,695,031.61

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These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.