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Finding the Third Proportional to 306,478 and 475,755

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Solution

The third proportional to 306,478 and 475,755 is: 738,528.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,478 : 475,755 = 475,755 : x
  2. Step 2: Convert to fraction form
    306,478/475,755 = 475,755/x
  3. Step 3: Cross multiply
    306,478x = 475,755 × 475,755
  4. Step 4: Simplify right side
    306,478x = 226,342,820,025
  5. Step 5: Solve for x
    x = 226,342,820,025/306,478
  6. Step 6: Final answer
    x = 738,528.77

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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.