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Finding the Third Proportional to 224,818.50 and 482,989.50

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Solution

The third proportional to 224,818.50 and 482,989.50 is: 1,037,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,818.50 : 482,989.50 = 482,989.50 : x
  2. Step 2: Convert to fraction form
    224,818.50/482,989.50 = 482,989.50/x
  3. Step 3: Cross multiply
    224,818.50x = 482,989.50 × 482,989.50
  4. Step 4: Simplify right side
    224,818.50x = 233,278,857,110.25
  5. Step 5: Solve for x
    x = 233,278,857,110.25/224,818.50
  6. Step 6: Final answer
    x = 1,037,631.94

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.