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Finding the Third Proportional to 349,222 and 762,414

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Solution

The third proportional to 349,222 and 762,414 is: 1,664,485.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,222 : 762,414 = 762,414 : x
  2. Step 2: Convert to fraction form
    349,222/762,414 = 762,414/x
  3. Step 3: Cross multiply
    349,222x = 762,414 × 762,414
  4. Step 4: Simplify right side
    349,222x = 581,275,107,396
  5. Step 5: Solve for x
    x = 581,275,107,396/349,222
  6. Step 6: Final answer
    x = 1,664,485.94

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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.