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Finding the Third Proportional to 234,142 and 503,828

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Solution

The third proportional to 234,142 and 503,828 is: 1,084,139.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,142 : 503,828 = 503,828 : x
  2. Step 2: Convert to fraction form
    234,142/503,828 = 503,828/x
  3. Step 3: Cross multiply
    234,142x = 503,828 × 503,828
  4. Step 4: Simplify right side
    234,142x = 253,842,653,584
  5. Step 5: Solve for x
    x = 253,842,653,584/234,142
  6. Step 6: Final answer
    x = 1,084,139.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.