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Finding the Third Proportional to 224,789.34 and 490,767.19

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Solution

The third proportional to 224,789.34 and 490,767.19 is: 1,071,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,789.34 : 490,767.19 = 490,767.19 : x
  2. Step 2: Convert to fraction form
    224,789.34/490,767.19 = 490,767.19/x
  3. Step 3: Cross multiply
    224,789.34x = 490,767.19 × 490,767.19
  4. Step 4: Simplify right side
    224,789.34x = 240,852,432,326.66
  5. Step 5: Solve for x
    x = 240,852,432,326.66/224,789.34
  6. Step 6: Final answer
    x = 1,071,458.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.