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Finding the Third Proportional to 239,055 and 521,575.50

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Solution

The third proportional to 239,055 and 521,575.50 is: 1,137,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,055 : 521,575.50 = 521,575.50 : x
  2. Step 2: Convert to fraction form
    239,055/521,575.50 = 521,575.50/x
  3. Step 3: Cross multiply
    239,055x = 521,575.50 × 521,575.50
  4. Step 4: Simplify right side
    239,055x = 272,041,002,200.25
  5. Step 5: Solve for x
    x = 272,041,002,200.25/239,055
  6. Step 6: Final answer
    x = 1,137,984.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.