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Finding the Third Proportional to 239,202 and 512,748

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Solution

The third proportional to 239,202 and 512,748 is: 1,099,115.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,202 : 512,748 = 512,748 : x
  2. Step 2: Convert to fraction form
    239,202/512,748 = 512,748/x
  3. Step 3: Cross multiply
    239,202x = 512,748 × 512,748
  4. Step 4: Simplify right side
    239,202x = 262,910,511,504
  5. Step 5: Solve for x
    x = 262,910,511,504/239,202
  6. Step 6: Final answer
    x = 1,099,115.02

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.