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Finding the Third Proportional to 451,472 and 675,000

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Solution

The third proportional to 451,472 and 675,000 is: 1,009,198.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,472 : 675,000 = 675,000 : x
  2. Step 2: Convert to fraction form
    451,472/675,000 = 675,000/x
  3. Step 3: Cross multiply
    451,472x = 675,000 × 675,000
  4. Step 4: Simplify right side
    451,472x = 455,625,000,000
  5. Step 5: Solve for x
    x = 455,625,000,000/451,472
  6. Step 6: Final answer
    x = 1,009,198.80

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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.