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Finding the Third Proportional to 313,538 and 471,012

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Solution

The third proportional to 313,538 and 471,012 is: 707,577.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,538 : 471,012 = 471,012 : x
  2. Step 2: Convert to fraction form
    313,538/471,012 = 471,012/x
  3. Step 3: Cross multiply
    313,538x = 471,012 × 471,012
  4. Step 4: Simplify right side
    313,538x = 221,852,304,144
  5. Step 5: Solve for x
    x = 221,852,304,144/313,538
  6. Step 6: Final answer
    x = 707,577.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.