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Finding the Third Proportional to 224,596.13 and 328,534.31

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Solution

The third proportional to 224,596.13 and 328,534.31 is: 480,572.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,596.13 : 328,534.31 = 328,534.31 : x
  2. Step 2: Convert to fraction form
    224,596.13/328,534.31 = 328,534.31/x
  3. Step 3: Cross multiply
    224,596.13x = 328,534.31 × 328,534.31
  4. Step 4: Simplify right side
    224,596.13x = 107,934,794,489.85
  5. Step 5: Solve for x
    x = 107,934,794,489.85/224,596.13
  6. Step 6: Final answer
    x = 480,572.83

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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.