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Finding the Third Proportional to 288,175.22 and 429,922.69

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Solution

The third proportional to 288,175.22 and 429,922.69 is: 641,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,175.22 : 429,922.69 = 429,922.69 : x
  2. Step 2: Convert to fraction form
    288,175.22/429,922.69 = 429,922.69/x
  3. Step 3: Cross multiply
    288,175.22x = 429,922.69 × 429,922.69
  4. Step 4: Simplify right side
    288,175.22x = 184,833,517,227.22
  5. Step 5: Solve for x
    x = 184,833,517,227.22/288,175.22
  6. Step 6: Final answer
    x = 641,392.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.