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Finding the Third Proportional to 267,624 and 577,025.50

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Solution

The third proportional to 267,624 and 577,025.50 is: 1,244,127.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,624 : 577,025.50 = 577,025.50 : x
  2. Step 2: Convert to fraction form
    267,624/577,025.50 = 577,025.50/x
  3. Step 3: Cross multiply
    267,624x = 577,025.50 × 577,025.50
  4. Step 4: Simplify right side
    267,624x = 332,958,427,650.25
  5. Step 5: Solve for x
    x = 332,958,427,650.25/267,624
  6. Step 6: Final answer
    x = 1,244,127.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.