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Finding the Third Proportional to 788,305.50 and 1,202,141.25

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Solution

The third proportional to 788,305.50 and 1,202,141.25 is: 1,833,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,305.50 : 1,202,141.25 = 1,202,141.25 : x
  2. Step 2: Convert to fraction form
    788,305.50/1,202,141.25 = 1,202,141.25/x
  3. Step 3: Cross multiply
    788,305.50x = 1,202,141.25 × 1,202,141.25
  4. Step 4: Simplify right side
    788,305.50x = 1,445,143,584,951.56
  5. Step 5: Solve for x
    x = 1,445,143,584,951.56/788,305.50
  6. Step 6: Final answer
    x = 1,833,227.83

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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.