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Finding the Third Proportional to 250,515 and 441,522

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Solution

The third proportional to 250,515 and 441,522 is: 778,163.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,515 : 441,522 = 441,522 : x
  2. Step 2: Convert to fraction form
    250,515/441,522 = 441,522/x
  3. Step 3: Cross multiply
    250,515x = 441,522 × 441,522
  4. Step 4: Simplify right side
    250,515x = 194,941,676,484
  5. Step 5: Solve for x
    x = 194,941,676,484/250,515
  6. Step 6: Final answer
    x = 778,163.69

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.