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Finding the Third Proportional to 456,468 and 667,800

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Solution

The third proportional to 456,468 and 667,800 is: 976,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,468 : 667,800 = 667,800 : x
  2. Step 2: Convert to fraction form
    456,468/667,800 = 667,800/x
  3. Step 3: Cross multiply
    456,468x = 667,800 × 667,800
  4. Step 4: Simplify right side
    456,468x = 445,956,840,000
  5. Step 5: Solve for x
    x = 445,956,840,000/456,468
  6. Step 6: Final answer
    x = 976,972.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.