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Finding the Third Proportional to 374,550.19 and 825,445.41

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Solution

The third proportional to 374,550.19 and 825,445.41 is: 1,819,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,550.19 : 825,445.41 = 825,445.41 : x
  2. Step 2: Convert to fraction form
    374,550.19/825,445.41 = 825,445.41/x
  3. Step 3: Cross multiply
    374,550.19x = 825,445.41 × 825,445.41
  4. Step 4: Simplify right side
    374,550.19x = 681,360,118,699.23
  5. Step 5: Solve for x
    x = 681,360,118,699.23/374,550.19
  6. Step 6: Final answer
    x = 1,819,142.38

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.