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Finding the Third Proportional to 234,169 and 503,858

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Solution

The third proportional to 234,169 and 503,858 is: 1,084,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,169 : 503,858 = 503,858 : x
  2. Step 2: Convert to fraction form
    234,169/503,858 = 503,858/x
  3. Step 3: Cross multiply
    234,169x = 503,858 × 503,858
  4. Step 4: Simplify right side
    234,169x = 253,872,884,164
  5. Step 5: Solve for x
    x = 253,872,884,164/234,169
  6. Step 6: Final answer
    x = 1,084,143.86

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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.