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Finding the Third Proportional to 452,466 and 672,138

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Solution

The third proportional to 452,466 and 672,138 is: 998,460.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,466 : 672,138 = 672,138 : x
  2. Step 2: Convert to fraction form
    452,466/672,138 = 672,138/x
  3. Step 3: Cross multiply
    452,466x = 672,138 × 672,138
  4. Step 4: Simplify right side
    452,466x = 451,769,491,044
  5. Step 5: Solve for x
    x = 451,769,491,044/452,466
  6. Step 6: Final answer
    x = 998,460.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.