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Finding the Third Proportional to 343,816 and 466,930

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Solution

The third proportional to 343,816 and 466,930 is: 634,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,816 : 466,930 = 466,930 : x
  2. Step 2: Convert to fraction form
    343,816/466,930 = 466,930/x
  3. Step 3: Cross multiply
    343,816x = 466,930 × 466,930
  4. Step 4: Simplify right side
    343,816x = 218,023,624,900
  5. Step 5: Solve for x
    x = 218,023,624,900/343,816
  6. Step 6: Final answer
    x = 634,128.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.