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Finding the Third Proportional to 306,481 and 475,759

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Solution

The third proportional to 306,481 and 475,759 is: 738,533.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,481 : 475,759 = 475,759 : x
  2. Step 2: Convert to fraction form
    306,481/475,759 = 475,759/x
  3. Step 3: Cross multiply
    306,481x = 475,759 × 475,759
  4. Step 4: Simplify right side
    306,481x = 226,346,626,081
  5. Step 5: Solve for x
    x = 226,346,626,081/306,481
  6. Step 6: Final answer
    x = 738,533.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.