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Finding the Third Proportional to 687,682.50 and 1,062,687.75

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Solution

The third proportional to 687,682.50 and 1,062,687.75 is: 1,642,189.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,682.50 : 1,062,687.75 = 1,062,687.75 : x
  2. Step 2: Convert to fraction form
    687,682.50/1,062,687.75 = 1,062,687.75/x
  3. Step 3: Cross multiply
    687,682.50x = 1,062,687.75 × 1,062,687.75
  4. Step 4: Simplify right side
    687,682.50x = 1,129,305,254,000.06
  5. Step 5: Solve for x
    x = 1,129,305,254,000.06/687,682.50
  6. Step 6: Final answer
    x = 1,642,189.90

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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.