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Finding the Third Proportional to 230,220 and 499,812

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Solution

The third proportional to 230,220 and 499,812 is: 1,085,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,220 : 499,812 = 499,812 : x
  2. Step 2: Convert to fraction form
    230,220/499,812 = 499,812/x
  3. Step 3: Cross multiply
    230,220x = 499,812 × 499,812
  4. Step 4: Simplify right side
    230,220x = 249,812,035,344
  5. Step 5: Solve for x
    x = 249,812,035,344/230,220
  6. Step 6: Final answer
    x = 1,085,101.36

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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.