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Finding the Third Proportional to 313,754 and 471,347

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Solution

The third proportional to 313,754 and 471,347 is: 708,096.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,754 : 471,347 = 471,347 : x
  2. Step 2: Convert to fraction form
    313,754/471,347 = 471,347/x
  3. Step 3: Cross multiply
    313,754x = 471,347 × 471,347
  4. Step 4: Simplify right side
    313,754x = 222,167,994,409
  5. Step 5: Solve for x
    x = 222,167,994,409/313,754
  6. Step 6: Final answer
    x = 708,096.13

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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.