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Finding the Third Proportional to 219,053 and 448,474

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Solution

The third proportional to 219,053 and 448,474 is: 918,174.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,053 : 448,474 = 448,474 : x
  2. Step 2: Convert to fraction form
    219,053/448,474 = 448,474/x
  3. Step 3: Cross multiply
    219,053x = 448,474 × 448,474
  4. Step 4: Simplify right side
    219,053x = 201,128,928,676
  5. Step 5: Solve for x
    x = 201,128,928,676/219,053
  6. Step 6: Final answer
    x = 918,174.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.