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Finding the Third Proportional to 317,067 and 747,716

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Solution

The third proportional to 317,067 and 747,716 is: 1,763,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,067 : 747,716 = 747,716 : x
  2. Step 2: Convert to fraction form
    317,067/747,716 = 747,716/x
  3. Step 3: Cross multiply
    317,067x = 747,716 × 747,716
  4. Step 4: Simplify right side
    317,067x = 559,079,216,656
  5. Step 5: Solve for x
    x = 559,079,216,656/317,067
  6. Step 6: Final answer
    x = 1,763,284.15

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.