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Finding the Third Proportional to 364,591.13 and 551,924.19

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Solution

The third proportional to 364,591.13 and 551,924.19 is: 835,512.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,591.13 : 551,924.19 = 551,924.19 : x
  2. Step 2: Convert to fraction form
    364,591.13/551,924.19 = 551,924.19/x
  3. Step 3: Cross multiply
    364,591.13x = 551,924.19 × 551,924.19
  4. Step 4: Simplify right side
    364,591.13x = 304,620,313,059.44
  5. Step 5: Solve for x
    x = 304,620,313,059.44/364,591.13
  6. Step 6: Final answer
    x = 835,512.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.