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Finding the Third Proportional to 250,521 and 441,525

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Solution

The third proportional to 250,521 and 441,525 is: 778,155.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,521 : 441,525 = 441,525 : x
  2. Step 2: Convert to fraction form
    250,521/441,525 = 441,525/x
  3. Step 3: Cross multiply
    250,521x = 441,525 × 441,525
  4. Step 4: Simplify right side
    250,521x = 194,944,325,625
  5. Step 5: Solve for x
    x = 194,944,325,625/250,521
  6. Step 6: Final answer
    x = 778,155.63

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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.