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Finding the Third Proportional to 550,471.50 and 842,116.50

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Solution

The third proportional to 550,471.50 and 842,116.50 is: 1,288,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,471.50 : 842,116.50 = 842,116.50 : x
  2. Step 2: Convert to fraction form
    550,471.50/842,116.50 = 842,116.50/x
  3. Step 3: Cross multiply
    550,471.50x = 842,116.50 × 842,116.50
  4. Step 4: Simplify right side
    550,471.50x = 709,160,199,572.25
  5. Step 5: Solve for x
    x = 709,160,199,572.25/550,471.50
  6. Step 6: Final answer
    x = 1,288,277.78

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.