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Finding the Third Proportional to 368,919.56 and 561,033.84

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Solution

The third proportional to 368,919.56 and 561,033.84 is: 853,191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,919.56 : 561,033.84 = 561,033.84 : x
  2. Step 2: Convert to fraction form
    368,919.56/561,033.84 = 561,033.84/x
  3. Step 3: Cross multiply
    368,919.56x = 561,033.84 × 561,033.84
  4. Step 4: Simplify right side
    368,919.56x = 314,758,973,832.90
  5. Step 5: Solve for x
    x = 314,758,973,832.90/368,919.56
  6. Step 6: Final answer
    x = 853,191.33

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.