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Finding the Third Proportional to 230,387.63 and 479,162.25

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Solution

The third proportional to 230,387.63 and 479,162.25 is: 996,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,387.63 : 479,162.25 = 479,162.25 : x
  2. Step 2: Convert to fraction form
    230,387.63/479,162.25 = 479,162.25/x
  3. Step 3: Cross multiply
    230,387.63x = 479,162.25 × 479,162.25
  4. Step 4: Simplify right side
    230,387.63x = 229,596,461,825.06
  5. Step 5: Solve for x
    x = 229,596,461,825.06/230,387.63
  6. Step 6: Final answer
    x = 996,565.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.