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Finding the Third Proportional to 224,451 and 483,886

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Solution

The third proportional to 224,451 and 483,886 is: 1,043,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,451 : 483,886 = 483,886 : x
  2. Step 2: Convert to fraction form
    224,451/483,886 = 483,886/x
  3. Step 3: Cross multiply
    224,451x = 483,886 × 483,886
  4. Step 4: Simplify right side
    224,451x = 234,145,660,996
  5. Step 5: Solve for x
    x = 234,145,660,996/224,451
  6. Step 6: Final answer
    x = 1,043,192.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.