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Finding the Third Proportional to 465,773.25 and 997,945.88

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Solution

The third proportional to 465,773.25 and 997,945.88 is: 2,138,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,773.25 : 997,945.88 = 997,945.88 : x
  2. Step 2: Convert to fraction form
    465,773.25/997,945.88 = 997,945.88/x
  3. Step 3: Cross multiply
    465,773.25x = 997,945.88 × 997,945.88
  4. Step 4: Simplify right side
    465,773.25x = 995,895,969,429.52
  5. Step 5: Solve for x
    x = 995,895,969,429.52/465,773.25
  6. Step 6: Final answer
    x = 2,138,156.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.