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Finding the Third Proportional to 240,795 and 527,265

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Solution

The third proportional to 240,795 and 527,265 is: 1,154,543.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,795 : 527,265 = 527,265 : x
  2. Step 2: Convert to fraction form
    240,795/527,265 = 527,265/x
  3. Step 3: Cross multiply
    240,795x = 527,265 × 527,265
  4. Step 4: Simplify right side
    240,795x = 278,008,380,225
  5. Step 5: Solve for x
    x = 278,008,380,225/240,795
  6. Step 6: Final answer
    x = 1,154,543.82

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.