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Finding the Third Proportional to 361,546 and 787,432

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Solution

The third proportional to 361,546 and 787,432 is: 1,714,993.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,546 : 787,432 = 787,432 : x
  2. Step 2: Convert to fraction form
    361,546/787,432 = 787,432/x
  3. Step 3: Cross multiply
    361,546x = 787,432 × 787,432
  4. Step 4: Simplify right side
    361,546x = 620,049,154,624
  5. Step 5: Solve for x
    x = 620,049,154,624/361,546
  6. Step 6: Final answer
    x = 1,714,993.82

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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.