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Finding the Third Proportional to 361,542 and 787,424

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Solution

The third proportional to 361,542 and 787,424 is: 1,714,977.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,542 : 787,424 = 787,424 : x
  2. Step 2: Convert to fraction form
    361,542/787,424 = 787,424/x
  3. Step 3: Cross multiply
    361,542x = 787,424 × 787,424
  4. Step 4: Simplify right side
    361,542x = 620,036,555,776
  5. Step 5: Solve for x
    x = 620,036,555,776/361,542
  6. Step 6: Final answer
    x = 1,714,977.94

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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.