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Finding the Third Proportional to 232,818 and 502,734

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Solution

The third proportional to 232,818 and 502,734 is: 1,085,575.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,818 : 502,734 = 502,734 : x
  2. Step 2: Convert to fraction form
    232,818/502,734 = 502,734/x
  3. Step 3: Cross multiply
    232,818x = 502,734 × 502,734
  4. Step 4: Simplify right side
    232,818x = 252,741,474,756
  5. Step 5: Solve for x
    x = 252,741,474,756/232,818
  6. Step 6: Final answer
    x = 1,085,575.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.