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Finding the Third Proportional to 338,682.94 and 464,415.19

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Solution

The third proportional to 338,682.94 and 464,415.19 is: 636,824.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,682.94 : 464,415.19 = 464,415.19 : x
  2. Step 2: Convert to fraction form
    338,682.94/464,415.19 = 464,415.19/x
  3. Step 3: Cross multiply
    338,682.94x = 464,415.19 × 464,415.19
  4. Step 4: Simplify right side
    338,682.94x = 215,681,466,380.66
  5. Step 5: Solve for x
    x = 215,681,466,380.66/338,682.94
  6. Step 6: Final answer
    x = 636,824.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.