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Finding the Third Proportional to 224,456.06 and 498,757.50

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Solution

The third proportional to 224,456.06 and 498,757.50 is: 1,108,275.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,456.06 : 498,757.50 = 498,757.50 : x
  2. Step 2: Convert to fraction form
    224,456.06/498,757.50 = 498,757.50/x
  3. Step 3: Cross multiply
    224,456.06x = 498,757.50 × 498,757.50
  4. Step 4: Simplify right side
    224,456.06x = 248,759,043,806.25
  5. Step 5: Solve for x
    x = 248,759,043,806.25/224,456.06
  6. Step 6: Final answer
    x = 1,108,275.01

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.