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Finding the Third Proportional to 316,578.38 and 452,676.75

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Solution

The third proportional to 316,578.38 and 452,676.75 is: 647,284.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,578.38 : 452,676.75 = 452,676.75 : x
  2. Step 2: Convert to fraction form
    316,578.38/452,676.75 = 452,676.75/x
  3. Step 3: Cross multiply
    316,578.38x = 452,676.75 × 452,676.75
  4. Step 4: Simplify right side
    316,578.38x = 204,916,239,990.56
  5. Step 5: Solve for x
    x = 204,916,239,990.56/316,578.38
  6. Step 6: Final answer
    x = 647,284.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.