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Finding the Third Proportional to 681,577.50 and 1,495,348.50

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Solution

The third proportional to 681,577.50 and 1,495,348.50 is: 3,280,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,577.50 : 1,495,348.50 = 1,495,348.50 : x
  2. Step 2: Convert to fraction form
    681,577.50/1,495,348.50 = 1,495,348.50/x
  3. Step 3: Cross multiply
    681,577.50x = 1,495,348.50 × 1,495,348.50
  4. Step 4: Simplify right side
    681,577.50x = 2,236,067,136,452.25
  5. Step 5: Solve for x
    x = 2,236,067,136,452.25/681,577.50
  6. Step 6: Final answer
    x = 3,280,723.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.