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Finding the Third Proportional to 306,161 and 665,446

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Solution

The third proportional to 306,161 and 665,446 is: 1,446,357.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,161 : 665,446 = 665,446 : x
  2. Step 2: Convert to fraction form
    306,161/665,446 = 665,446/x
  3. Step 3: Cross multiply
    306,161x = 665,446 × 665,446
  4. Step 4: Simplify right side
    306,161x = 442,818,378,916
  5. Step 5: Solve for x
    x = 442,818,378,916/306,161
  6. Step 6: Final answer
    x = 1,446,357.89

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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.