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Finding the Third Proportional to 239,653.13 and 520,044.19

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Solution

The third proportional to 239,653.13 and 520,044.19 is: 1,128,489.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,653.13 : 520,044.19 = 520,044.19 : x
  2. Step 2: Convert to fraction form
    239,653.13/520,044.19 = 520,044.19/x
  3. Step 3: Cross multiply
    239,653.13x = 520,044.19 × 520,044.19
  4. Step 4: Simplify right side
    239,653.13x = 270,445,956,952.54
  5. Step 5: Solve for x
    x = 270,445,956,952.54/239,653.13
  6. Step 6: Final answer
    x = 1,128,489.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.