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Finding the Third Proportional to 321,850.13 and 472,921.88

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Solution

The third proportional to 321,850.13 and 472,921.88 is: 694,904.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,850.13 : 472,921.88 = 472,921.88 : x
  2. Step 2: Convert to fraction form
    321,850.13/472,921.88 = 472,921.88/x
  3. Step 3: Cross multiply
    321,850.13x = 472,921.88 × 472,921.88
  4. Step 4: Simplify right side
    321,850.13x = 223,655,099,853.52
  5. Step 5: Solve for x
    x = 223,655,099,853.52/321,850.13
  6. Step 6: Final answer
    x = 694,904.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.