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Finding the Third Proportional to 306,064 and 465,866

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Solution

The third proportional to 306,064 and 465,866 is: 709,103.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,064 : 465,866 = 465,866 : x
  2. Step 2: Convert to fraction form
    306,064/465,866 = 465,866/x
  3. Step 3: Cross multiply
    306,064x = 465,866 × 465,866
  4. Step 4: Simplify right side
    306,064x = 217,031,129,956
  5. Step 5: Solve for x
    x = 217,031,129,956/306,064
  6. Step 6: Final answer
    x = 709,103.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.