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Finding the Third Proportional to 550,437.19 and 775,140.75

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Solution

The third proportional to 550,437.19 and 775,140.75 is: 1,091,574.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,437.19 : 775,140.75 = 775,140.75 : x
  2. Step 2: Convert to fraction form
    550,437.19/775,140.75 = 775,140.75/x
  3. Step 3: Cross multiply
    550,437.19x = 775,140.75 × 775,140.75
  4. Step 4: Simplify right side
    550,437.19x = 600,843,182,310.56
  5. Step 5: Solve for x
    x = 600,843,182,310.56/550,437.19
  6. Step 6: Final answer
    x = 1,091,574.47

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.