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Finding the Third Proportional to 459,881 and 671,965

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Solution

The third proportional to 459,881 and 671,965 is: 981,856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,881 : 671,965 = 671,965 : x
  2. Step 2: Convert to fraction form
    459,881/671,965 = 671,965/x
  3. Step 3: Cross multiply
    459,881x = 671,965 × 671,965
  4. Step 4: Simplify right side
    459,881x = 451,536,961,225
  5. Step 5: Solve for x
    x = 451,536,961,225/459,881
  6. Step 6: Final answer
    x = 981,856.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.