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Finding the Third Proportional to 240,377 and 512,933

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Solution

The third proportional to 240,377 and 512,933 is: 1,094,531.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,377 : 512,933 = 512,933 : x
  2. Step 2: Convert to fraction form
    240,377/512,933 = 512,933/x
  3. Step 3: Cross multiply
    240,377x = 512,933 × 512,933
  4. Step 4: Simplify right side
    240,377x = 263,100,262,489
  5. Step 5: Solve for x
    x = 263,100,262,489/240,377
  6. Step 6: Final answer
    x = 1,094,531.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.