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Finding the Third Proportional to 464,452 and 694,950

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Solution

The third proportional to 464,452 and 694,950 is: 1,039,839.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,452 : 694,950 = 694,950 : x
  2. Step 2: Convert to fraction form
    464,452/694,950 = 694,950/x
  3. Step 3: Cross multiply
    464,452x = 694,950 × 694,950
  4. Step 4: Simplify right side
    464,452x = 482,955,502,500
  5. Step 5: Solve for x
    x = 482,955,502,500/464,452
  6. Step 6: Final answer
    x = 1,039,839.43

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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.