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Finding the Third Proportional to 361,416 and 482,994

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Solution

The third proportional to 361,416 and 482,994 is: 645,470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,416 : 482,994 = 482,994 : x
  2. Step 2: Convert to fraction form
    361,416/482,994 = 482,994/x
  3. Step 3: Cross multiply
    361,416x = 482,994 × 482,994
  4. Step 4: Simplify right side
    361,416x = 233,283,204,036
  5. Step 5: Solve for x
    x = 233,283,204,036/361,416
  6. Step 6: Final answer
    x = 645,470.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.