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Finding the Third Proportional to 627,800.63 and 997,747.88

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Solution

The third proportional to 627,800.63 and 997,747.88 is: 1,585,695.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,800.63 : 997,747.88 = 997,747.88 : x
  2. Step 2: Convert to fraction form
    627,800.63/997,747.88 = 997,747.88/x
  3. Step 3: Cross multiply
    627,800.63x = 997,747.88 × 997,747.88
  4. Step 4: Simplify right side
    627,800.63x = 995,500,822,067.02
  5. Step 5: Solve for x
    x = 995,500,822,067.02/627,800.63
  6. Step 6: Final answer
    x = 1,585,695.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.