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Finding the Third Proportional to 349,224 and 762,418

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Solution

The third proportional to 349,224 and 762,418 is: 1,664,493.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,224 : 762,418 = 762,418 : x
  2. Step 2: Convert to fraction form
    349,224/762,418 = 762,418/x
  3. Step 3: Cross multiply
    349,224x = 762,418 × 762,418
  4. Step 4: Simplify right side
    349,224x = 581,281,206,724
  5. Step 5: Solve for x
    x = 581,281,206,724/349,224
  6. Step 6: Final answer
    x = 1,664,493.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.