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Finding the Third Proportional to 240,538 and 522,065

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Solution

The third proportional to 240,538 and 522,065 is: 1,133,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,538 : 522,065 = 522,065 : x
  2. Step 2: Convert to fraction form
    240,538/522,065 = 522,065/x
  3. Step 3: Cross multiply
    240,538x = 522,065 × 522,065
  4. Step 4: Simplify right side
    240,538x = 272,551,864,225
  5. Step 5: Solve for x
    x = 272,551,864,225/240,538
  6. Step 6: Final answer
    x = 1,133,092.75

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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.