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Finding the Third Proportional to 287,591.50 and 444,847

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Solution

The third proportional to 287,591.50 and 444,847 is: 688,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,591.50 : 444,847 = 444,847 : x
  2. Step 2: Convert to fraction form
    287,591.50/444,847 = 444,847/x
  3. Step 3: Cross multiply
    287,591.50x = 444,847 × 444,847
  4. Step 4: Simplify right side
    287,591.50x = 197,888,853,409
  5. Step 5: Solve for x
    x = 197,888,853,409/287,591.50
  6. Step 6: Final answer
    x = 688,090.06

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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.