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Finding the Third Proportional to 230,674 and 499,256

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Solution

The third proportional to 230,674 and 499,256 is: 1,080,557.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,674 : 499,256 = 499,256 : x
  2. Step 2: Convert to fraction form
    230,674/499,256 = 499,256/x
  3. Step 3: Cross multiply
    230,674x = 499,256 × 499,256
  4. Step 4: Simplify right side
    230,674x = 249,256,553,536
  5. Step 5: Solve for x
    x = 249,256,553,536/230,674
  6. Step 6: Final answer
    x = 1,080,557.64

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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.