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Finding the Third Proportional to 234,048 and 456,288

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Solution

The third proportional to 234,048 and 456,288 is: 889,555.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,048 : 456,288 = 456,288 : x
  2. Step 2: Convert to fraction form
    234,048/456,288 = 456,288/x
  3. Step 3: Cross multiply
    234,048x = 456,288 × 456,288
  4. Step 4: Simplify right side
    234,048x = 208,198,738,944
  5. Step 5: Solve for x
    x = 208,198,738,944/234,048
  6. Step 6: Final answer
    x = 889,555.73

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.