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Finding the Third Proportional to 240,805 and 527,285

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Solution

The third proportional to 240,805 and 527,285 is: 1,154,583.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,805 : 527,285 = 527,285 : x
  2. Step 2: Convert to fraction form
    240,805/527,285 = 527,285/x
  3. Step 3: Cross multiply
    240,805x = 527,285 × 527,285
  4. Step 4: Simplify right side
    240,805x = 278,029,471,225
  5. Step 5: Solve for x
    x = 278,029,471,225/240,805
  6. Step 6: Final answer
    x = 1,154,583.46

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Why These Related Problems?

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