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Finding the Third Proportional to 301,170.66 and 466,335.98

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Solution

The third proportional to 301,170.66 and 466,335.98 is: 722,079.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,170.66 : 466,335.98 = 466,335.98 : x
  2. Step 2: Convert to fraction form
    301,170.66/466,335.98 = 466,335.98/x
  3. Step 3: Cross multiply
    301,170.66x = 466,335.98 × 466,335.98
  4. Step 4: Simplify right side
    301,170.66x = 217,469,250,323.00
  5. Step 5: Solve for x
    x = 217,469,250,323.00/301,170.66
  6. Step 6: Final answer
    x = 722,079.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.