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Finding the Third Proportional to 238,932 and 520,632

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Solution

The third proportional to 238,932 and 520,632 is: 1,134,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,932 : 520,632 = 520,632 : x
  2. Step 2: Convert to fraction form
    238,932/520,632 = 520,632/x
  3. Step 3: Cross multiply
    238,932x = 520,632 × 520,632
  4. Step 4: Simplify right side
    238,932x = 271,057,679,424
  5. Step 5: Solve for x
    x = 271,057,679,424/238,932
  6. Step 6: Final answer
    x = 1,134,455.32

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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.