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Finding the Third Proportional to 414,517.50 and 608,175

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Solution

The third proportional to 414,517.50 and 608,175 is: 892,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,517.50 : 608,175 = 608,175 : x
  2. Step 2: Convert to fraction form
    414,517.50/608,175 = 608,175/x
  3. Step 3: Cross multiply
    414,517.50x = 608,175 × 608,175
  4. Step 4: Simplify right side
    414,517.50x = 369,876,830,625
  5. Step 5: Solve for x
    x = 369,876,830,625/414,517.50
  6. Step 6: Final answer
    x = 892,306.91

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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.