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Finding the Third Proportional to 240,803 and 527,281

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Solution

The third proportional to 240,803 and 527,281 is: 1,154,575.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,803 : 527,281 = 527,281 : x
  2. Step 2: Convert to fraction form
    240,803/527,281 = 527,281/x
  3. Step 3: Cross multiply
    240,803x = 527,281 × 527,281
  4. Step 4: Simplify right side
    240,803x = 278,025,252,961
  5. Step 5: Solve for x
    x = 278,025,252,961/240,803
  6. Step 6: Final answer
    x = 1,154,575.54

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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.