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Finding the Third Proportional to 219,096 and 448,552

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Solution

The third proportional to 219,096 and 448,552 is: 918,313.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,096 : 448,552 = 448,552 : x
  2. Step 2: Convert to fraction form
    219,096/448,552 = 448,552/x
  3. Step 3: Cross multiply
    219,096x = 448,552 × 448,552
  4. Step 4: Simplify right side
    219,096x = 201,198,896,704
  5. Step 5: Solve for x
    x = 201,198,896,704/219,096
  6. Step 6: Final answer
    x = 918,313.87

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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.