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Finding the Third Proportional to 238,590.56 and 519,164.44

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Solution

The third proportional to 238,590.56 and 519,164.44 is: 1,129,683.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,590.56 : 519,164.44 = 519,164.44 : x
  2. Step 2: Convert to fraction form
    238,590.56/519,164.44 = 519,164.44/x
  3. Step 3: Cross multiply
    238,590.56x = 519,164.44 × 519,164.44
  4. Step 4: Simplify right side
    238,590.56x = 269,531,713,164.69
  5. Step 5: Solve for x
    x = 269,531,713,164.69/238,590.56
  6. Step 6: Final answer
    x = 1,129,683.05

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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.