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Finding the Third Proportional to 313,082 and 471,057

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Solution

The third proportional to 313,082 and 471,057 is: 708,743.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,082 : 471,057 = 471,057 : x
  2. Step 2: Convert to fraction form
    313,082/471,057 = 471,057/x
  3. Step 3: Cross multiply
    313,082x = 471,057 × 471,057
  4. Step 4: Simplify right side
    313,082x = 221,894,697,249
  5. Step 5: Solve for x
    x = 221,894,697,249/313,082
  6. Step 6: Final answer
    x = 708,743.07

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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.