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Finding the Third Proportional to 230,642.44 and 499,192.88

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Solution

The third proportional to 230,642.44 and 499,192.88 is: 1,080,432.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,642.44 : 499,192.88 = 499,192.88 : x
  2. Step 2: Convert to fraction form
    230,642.44/499,192.88 = 499,192.88/x
  3. Step 3: Cross multiply
    230,642.44x = 499,192.88 × 499,192.88
  4. Step 4: Simplify right side
    230,642.44x = 249,193,526,450.77
  5. Step 5: Solve for x
    x = 249,193,526,450.77/230,642.44
  6. Step 6: Final answer
    x = 1,080,432.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.