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Finding the Third Proportional to 681,682.50 and 1,056,972.38

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Solution

The third proportional to 681,682.50 and 1,056,972.38 is: 1,638,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,682.50 : 1,056,972.38 = 1,056,972.38 : x
  2. Step 2: Convert to fraction form
    681,682.50/1,056,972.38 = 1,056,972.38/x
  3. Step 3: Cross multiply
    681,682.50x = 1,056,972.38 × 1,056,972.38
  4. Step 4: Simplify right side
    681,682.50x = 1,117,190,601,513.14
  5. Step 5: Solve for x
    x = 1,117,190,601,513.14/681,682.50
  6. Step 6: Final answer
    x = 1,638,872.35

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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.