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Finding the Third Proportional to 234,665 and 480,265

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Solution

The third proportional to 234,665 and 480,265 is: 982,909.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,665 : 480,265 = 480,265 : x
  2. Step 2: Convert to fraction form
    234,665/480,265 = 480,265/x
  3. Step 3: Cross multiply
    234,665x = 480,265 × 480,265
  4. Step 4: Simplify right side
    234,665x = 230,654,470,225
  5. Step 5: Solve for x
    x = 230,654,470,225/234,665
  6. Step 6: Final answer
    x = 982,909.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.