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Finding the Third Proportional to 234,864 and 523,514

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Solution

The third proportional to 234,864 and 523,514 is: 1,166,917.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,864 : 523,514 = 523,514 : x
  2. Step 2: Convert to fraction form
    234,864/523,514 = 523,514/x
  3. Step 3: Cross multiply
    234,864x = 523,514 × 523,514
  4. Step 4: Simplify right side
    234,864x = 274,066,908,196
  5. Step 5: Solve for x
    x = 274,066,908,196/234,864
  6. Step 6: Final answer
    x = 1,166,917.48

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.