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Finding the Third Proportional to 481,134 and 672,656

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Solution

The third proportional to 481,134 and 672,656 is: 940,415.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,134 : 672,656 = 672,656 : x
  2. Step 2: Convert to fraction form
    481,134/672,656 = 672,656/x
  3. Step 3: Cross multiply
    481,134x = 672,656 × 672,656
  4. Step 4: Simplify right side
    481,134x = 452,466,094,336
  5. Step 5: Solve for x
    x = 452,466,094,336/481,134
  6. Step 6: Final answer
    x = 940,415.96

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.