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Finding the Third Proportional to 361,612 and 787,514

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Solution

The third proportional to 361,612 and 787,514 is: 1,715,037.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,612 : 787,514 = 787,514 : x
  2. Step 2: Convert to fraction form
    361,612/787,514 = 787,514/x
  3. Step 3: Cross multiply
    361,612x = 787,514 × 787,514
  4. Step 4: Simplify right side
    361,612x = 620,178,300,196
  5. Step 5: Solve for x
    x = 620,178,300,196/361,612
  6. Step 6: Final answer
    x = 1,715,037.94

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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.