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Finding the Third Proportional to 313,860 and 471,492

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Solution

The third proportional to 313,860 and 471,492 is: 708,292.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,860 : 471,492 = 471,492 : x
  2. Step 2: Convert to fraction form
    313,860/471,492 = 471,492/x
  3. Step 3: Cross multiply
    313,860x = 471,492 × 471,492
  4. Step 4: Simplify right side
    313,860x = 222,304,706,064
  5. Step 5: Solve for x
    x = 222,304,706,064/313,860
  6. Step 6: Final answer
    x = 708,292.57

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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.