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Finding the Third Proportional to 287,847 and 431,806.50

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Solution

The third proportional to 287,847 and 431,806.50 is: 647,763.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,847 : 431,806.50 = 431,806.50 : x
  2. Step 2: Convert to fraction form
    287,847/431,806.50 = 431,806.50/x
  3. Step 3: Cross multiply
    287,847x = 431,806.50 × 431,806.50
  4. Step 4: Simplify right side
    287,847x = 186,456,853,442.25
  5. Step 5: Solve for x
    x = 186,456,853,442.25/287,847
  6. Step 6: Final answer
    x = 647,763.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.