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Finding the Third Proportional to 437,908.50 and 665,087.25

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Solution

The third proportional to 437,908.50 and 665,087.25 is: 1,010,122.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,908.50 : 665,087.25 = 665,087.25 : x
  2. Step 2: Convert to fraction form
    437,908.50/665,087.25 = 665,087.25/x
  3. Step 3: Cross multiply
    437,908.50x = 665,087.25 × 665,087.25
  4. Step 4: Simplify right side
    437,908.50x = 442,341,050,112.56
  5. Step 5: Solve for x
    x = 442,341,050,112.56/437,908.50
  6. Step 6: Final answer
    x = 1,010,122.09

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.