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Finding the Third Proportional to 306,479 and 475,757

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Solution

The third proportional to 306,479 and 475,757 is: 738,532.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,479 : 475,757 = 475,757 : x
  2. Step 2: Convert to fraction form
    306,479/475,757 = 475,757/x
  3. Step 3: Cross multiply
    306,479x = 475,757 × 475,757
  4. Step 4: Simplify right side
    306,479x = 226,344,723,049
  5. Step 5: Solve for x
    x = 226,344,723,049/306,479
  6. Step 6: Final answer
    x = 738,532.57

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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.