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Finding the Third Proportional to 234,285 and 502,470

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Solution

The third proportional to 234,285 and 502,470 is: 1,077,645.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,285 : 502,470 = 502,470 : x
  2. Step 2: Convert to fraction form
    234,285/502,470 = 502,470/x
  3. Step 3: Cross multiply
    234,285x = 502,470 × 502,470
  4. Step 4: Simplify right side
    234,285x = 252,476,100,900
  5. Step 5: Solve for x
    x = 252,476,100,900/234,285
  6. Step 6: Final answer
    x = 1,077,645.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.