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Finding the Third Proportional to 349,328 and 523,452

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Solution

The third proportional to 349,328 and 523,452 is: 784,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,328 : 523,452 = 523,452 : x
  2. Step 2: Convert to fraction form
    349,328/523,452 = 523,452/x
  3. Step 3: Cross multiply
    349,328x = 523,452 × 523,452
  4. Step 4: Simplify right side
    349,328x = 274,001,996,304
  5. Step 5: Solve for x
    x = 274,001,996,304/349,328
  6. Step 6: Final answer
    x = 784,368.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.