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Finding the Third Proportional to 269,375.63 and 392,217.19

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Solution

The third proportional to 269,375.63 and 392,217.19 is: 571,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,375.63 : 392,217.19 = 392,217.19 : x
  2. Step 2: Convert to fraction form
    269,375.63/392,217.19 = 392,217.19/x
  3. Step 3: Cross multiply
    269,375.63x = 392,217.19 × 392,217.19
  4. Step 4: Simplify right side
    269,375.63x = 153,834,322,170.41
  5. Step 5: Solve for x
    x = 153,834,322,170.41/269,375.63
  6. Step 6: Final answer
    x = 571,077.37

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.