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Finding the Third Proportional to 238,702 and 520,010

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Solution

The third proportional to 238,702 and 520,010 is: 1,132,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,702 : 520,010 = 520,010 : x
  2. Step 2: Convert to fraction form
    238,702/520,010 = 520,010/x
  3. Step 3: Cross multiply
    238,702x = 520,010 × 520,010
  4. Step 4: Simplify right side
    238,702x = 270,410,400,100
  5. Step 5: Solve for x
    x = 270,410,400,100/238,702
  6. Step 6: Final answer
    x = 1,132,836.76

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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.