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Finding the Third Proportional to 274,234 and 600,932

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Solution

The third proportional to 274,234 and 600,932 is: 1,316,828.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,234 : 600,932 = 600,932 : x
  2. Step 2: Convert to fraction form
    274,234/600,932 = 600,932/x
  3. Step 3: Cross multiply
    274,234x = 600,932 × 600,932
  4. Step 4: Simplify right side
    274,234x = 361,119,268,624
  5. Step 5: Solve for x
    x = 361,119,268,624/274,234
  6. Step 6: Final answer
    x = 1,316,828.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.