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Finding the Third Proportional to 240,728 and 521,632

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Solution

The third proportional to 240,728 and 521,632 is: 1,130,321.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,728 : 521,632 = 521,632 : x
  2. Step 2: Convert to fraction form
    240,728/521,632 = 521,632/x
  3. Step 3: Cross multiply
    240,728x = 521,632 × 521,632
  4. Step 4: Simplify right side
    240,728x = 272,099,943,424
  5. Step 5: Solve for x
    x = 272,099,943,424/240,728
  6. Step 6: Final answer
    x = 1,130,321.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.