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Finding the Third Proportional to 230,221 and 499,814

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Solution

The third proportional to 230,221 and 499,814 is: 1,085,105.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,221 : 499,814 = 499,814 : x
  2. Step 2: Convert to fraction form
    230,221/499,814 = 499,814/x
  3. Step 3: Cross multiply
    230,221x = 499,814 × 499,814
  4. Step 4: Simplify right side
    230,221x = 249,814,034,596
  5. Step 5: Solve for x
    x = 249,814,034,596/230,221
  6. Step 6: Final answer
    x = 1,085,105.33

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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.