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Finding the Third Proportional to 238,701 and 520,008

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Solution

The third proportional to 238,701 and 520,008 is: 1,132,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,701 : 520,008 = 520,008 : x
  2. Step 2: Convert to fraction form
    238,701/520,008 = 520,008/x
  3. Step 3: Cross multiply
    238,701x = 520,008 × 520,008
  4. Step 4: Simplify right side
    238,701x = 270,408,320,064
  5. Step 5: Solve for x
    x = 270,408,320,064/238,701
  6. Step 6: Final answer
    x = 1,132,832.79

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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.