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Finding the Third Proportional to 232,892 and 360,717

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Solution

The third proportional to 232,892 and 360,717 is: 558,699.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,892 : 360,717 = 360,717 : x
  2. Step 2: Convert to fraction form
    232,892/360,717 = 360,717/x
  3. Step 3: Cross multiply
    232,892x = 360,717 × 360,717
  4. Step 4: Simplify right side
    232,892x = 130,116,754,089
  5. Step 5: Solve for x
    x = 130,116,754,089/232,892
  6. Step 6: Final answer
    x = 558,699.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.