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Finding the Third Proportional to 229,796 and 330,974

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Solution

The third proportional to 229,796 and 330,974 is: 476,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,796 : 330,974 = 330,974 : x
  2. Step 2: Convert to fraction form
    229,796/330,974 = 330,974/x
  3. Step 3: Cross multiply
    229,796x = 330,974 × 330,974
  4. Step 4: Simplify right side
    229,796x = 109,543,788,676
  5. Step 5: Solve for x
    x = 109,543,788,676/229,796
  6. Step 6: Final answer
    x = 476,700.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.