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Finding the Third Proportional to 227,852 and 498,593

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Solution

The third proportional to 227,852 and 498,593 is: 1,091,037.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,852 : 498,593 = 498,593 : x
  2. Step 2: Convert to fraction form
    227,852/498,593 = 498,593/x
  3. Step 3: Cross multiply
    227,852x = 498,593 × 498,593
  4. Step 4: Simplify right side
    227,852x = 248,594,979,649
  5. Step 5: Solve for x
    x = 248,594,979,649/227,852
  6. Step 6: Final answer
    x = 1,091,037.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.