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Finding the Third Proportional to 252,281.75 and 420,453.75

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Solution

The third proportional to 252,281.75 and 420,453.75 is: 700,729.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,281.75 : 420,453.75 = 420,453.75 : x
  2. Step 2: Convert to fraction form
    252,281.75/420,453.75 = 420,453.75/x
  3. Step 3: Cross multiply
    252,281.75x = 420,453.75 × 420,453.75
  4. Step 4: Simplify right side
    252,281.75x = 176,781,355,889.06
  5. Step 5: Solve for x
    x = 176,781,355,889.06/252,281.75
  6. Step 6: Final answer
    x = 700,729.86

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.