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Finding the Third Proportional to 364,205.25 and 551,387.25

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Solution

The third proportional to 364,205.25 and 551,387.25 is: 834,770.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,205.25 : 551,387.25 = 551,387.25 : x
  2. Step 2: Convert to fraction form
    364,205.25/551,387.25 = 551,387.25/x
  3. Step 3: Cross multiply
    364,205.25x = 551,387.25 × 551,387.25
  4. Step 4: Simplify right side
    364,205.25x = 304,027,899,462.56
  5. Step 5: Solve for x
    x = 304,027,899,462.56/364,205.25
  6. Step 6: Final answer
    x = 834,770.78

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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.