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Finding the Third Proportional to 224,478.75 and 498,780.75

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Solution

The third proportional to 224,478.75 and 498,780.75 is: 1,108,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,478.75 : 498,780.75 = 498,780.75 : x
  2. Step 2: Convert to fraction form
    224,478.75/498,780.75 = 498,780.75/x
  3. Step 3: Cross multiply
    224,478.75x = 498,780.75 × 498,780.75
  4. Step 4: Simplify right side
    224,478.75x = 248,782,236,570.56
  5. Step 5: Solve for x
    x = 248,782,236,570.56/224,478.75
  6. Step 6: Final answer
    x = 1,108,266.31

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Why These Related Problems?

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