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Finding the Third Proportional to 709,256.25 and 1,061,378.44

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Solution

The third proportional to 709,256.25 and 1,061,378.44 is: 1,588,317.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,256.25 : 1,061,378.44 = 1,061,378.44 : x
  2. Step 2: Convert to fraction form
    709,256.25/1,061,378.44 = 1,061,378.44/x
  3. Step 3: Cross multiply
    709,256.25x = 1,061,378.44 × 1,061,378.44
  4. Step 4: Simplify right side
    709,256.25x = 1,126,524,187,589.94
  5. Step 5: Solve for x
    x = 1,126,524,187,589.94/709,256.25
  6. Step 6: Final answer
    x = 1,588,317.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.