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Finding the Third Proportional to 374,555.25 and 819,065.25

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Solution

The third proportional to 374,555.25 and 819,065.25 is: 1,791,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,555.25 : 819,065.25 = 819,065.25 : x
  2. Step 2: Convert to fraction form
    374,555.25/819,065.25 = 819,065.25/x
  3. Step 3: Cross multiply
    374,555.25x = 819,065.25 × 819,065.25
  4. Step 4: Simplify right side
    374,555.25x = 670,867,883,757.56
  5. Step 5: Solve for x
    x = 670,867,883,757.56/374,555.25
  6. Step 6: Final answer
    x = 1,791,105.27

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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.