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Finding the Third Proportional to 224,598 and 328,536.75

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Solution

The third proportional to 224,598 and 328,536.75 is: 480,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,598 : 328,536.75 = 328,536.75 : x
  2. Step 2: Convert to fraction form
    224,598/328,536.75 = 328,536.75/x
  3. Step 3: Cross multiply
    224,598x = 328,536.75 × 328,536.75
  4. Step 4: Simplify right side
    224,598x = 107,936,396,100.56
  5. Step 5: Solve for x
    x = 107,936,396,100.56/224,598
  6. Step 6: Final answer
    x = 480,575.95

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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.