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Finding the Third Proportional to 233,962.03 and 479,007.56

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Solution

The third proportional to 233,962.03 and 479,007.56 is: 980,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,962.03 : 479,007.56 = 479,007.56 : x
  2. Step 2: Convert to fraction form
    233,962.03/479,007.56 = 479,007.56/x
  3. Step 3: Cross multiply
    233,962.03x = 479,007.56 × 479,007.56
  4. Step 4: Simplify right side
    233,962.03x = 229,448,244,932.19
  5. Step 5: Solve for x
    x = 229,448,244,932.19/233,962.03
  6. Step 6: Final answer
    x = 980,707.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.