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Finding the Third Proportional to 263,262 and 418,476

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Solution

The third proportional to 263,262 and 418,476 is: 665,201.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,262 : 418,476 = 418,476 : x
  2. Step 2: Convert to fraction form
    263,262/418,476 = 418,476/x
  3. Step 3: Cross multiply
    263,262x = 418,476 × 418,476
  4. Step 4: Simplify right side
    263,262x = 175,122,162,576
  5. Step 5: Solve for x
    x = 175,122,162,576/263,262
  6. Step 6: Final answer
    x = 665,201.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.