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Finding the Third Proportional to 240,624 and 524,016

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Solution

The third proportional to 240,624 and 524,016 is: 1,141,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,624 : 524,016 = 524,016 : x
  2. Step 2: Convert to fraction form
    240,624/524,016 = 524,016/x
  3. Step 3: Cross multiply
    240,624x = 524,016 × 524,016
  4. Step 4: Simplify right side
    240,624x = 274,592,768,256
  5. Step 5: Solve for x
    x = 274,592,768,256/240,624
  6. Step 6: Final answer
    x = 1,141,169.49

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Why These Related Problems?

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