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Finding the Third Proportional to 234,171 and 507,711

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Solution

The third proportional to 234,171 and 507,711 is: 1,100,778.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,171 : 507,711 = 507,711 : x
  2. Step 2: Convert to fraction form
    234,171/507,711 = 507,711/x
  3. Step 3: Cross multiply
    234,171x = 507,711 × 507,711
  4. Step 4: Simplify right side
    234,171x = 257,770,459,521
  5. Step 5: Solve for x
    x = 257,770,459,521/234,171
  6. Step 6: Final answer
    x = 1,100,778.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.