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Finding the Third Proportional to 230,256 and 498,852

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Solution

The third proportional to 230,256 and 498,852 is: 1,080,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,256 : 498,852 = 498,852 : x
  2. Step 2: Convert to fraction form
    230,256/498,852 = 498,852/x
  3. Step 3: Cross multiply
    230,256x = 498,852 × 498,852
  4. Step 4: Simplify right side
    230,256x = 248,853,317,904
  5. Step 5: Solve for x
    x = 248,853,317,904/230,256
  6. Step 6: Final answer
    x = 1,080,768.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.