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Finding the Third Proportional to 361,656 and 787,584

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Solution

The third proportional to 361,656 and 787,584 is: 1,715,134.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,656 : 787,584 = 787,584 : x
  2. Step 2: Convert to fraction form
    361,656/787,584 = 787,584/x
  3. Step 3: Cross multiply
    361,656x = 787,584 × 787,584
  4. Step 4: Simplify right side
    361,656x = 620,288,557,056
  5. Step 5: Solve for x
    x = 620,288,557,056/361,656
  6. Step 6: Final answer
    x = 1,715,134.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.