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Finding the Third Proportional to 242,617.50 and 527,744.25

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Solution

The third proportional to 242,617.50 and 527,744.25 is: 1,147,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,617.50 : 527,744.25 = 527,744.25 : x
  2. Step 2: Convert to fraction form
    242,617.50/527,744.25 = 527,744.25/x
  3. Step 3: Cross multiply
    242,617.50x = 527,744.25 × 527,744.25
  4. Step 4: Simplify right side
    242,617.50x = 278,513,993,408.06
  5. Step 5: Solve for x
    x = 278,513,993,408.06/242,617.50
  6. Step 6: Final answer
    x = 1,147,955.09

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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.