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Finding the Third Proportional to 322,476 and 508,452

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Solution

The third proportional to 322,476 and 508,452 is: 801,682.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,476 : 508,452 = 508,452 : x
  2. Step 2: Convert to fraction form
    322,476/508,452 = 508,452/x
  3. Step 3: Cross multiply
    322,476x = 508,452 × 508,452
  4. Step 4: Simplify right side
    322,476x = 258,523,436,304
  5. Step 5: Solve for x
    x = 258,523,436,304/322,476
  6. Step 6: Final answer
    x = 801,682.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.