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Finding the Third Proportional to 740,257.50 and 1,115,854.50

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Solution

The third proportional to 740,257.50 and 1,115,854.50 is: 1,682,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,257.50 : 1,115,854.50 = 1,115,854.50 : x
  2. Step 2: Convert to fraction form
    740,257.50/1,115,854.50 = 1,115,854.50/x
  3. Step 3: Cross multiply
    740,257.50x = 1,115,854.50 × 1,115,854.50
  4. Step 4: Simplify right side
    740,257.50x = 1,245,131,265,170.25
  5. Step 5: Solve for x
    x = 1,245,131,265,170.25/740,257.50
  6. Step 6: Final answer
    x = 1,682,024.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.