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Finding the Third Proportional to 349,718 and 762,667

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Solution

The third proportional to 349,718 and 762,667 is: 1,663,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,718 : 762,667 = 762,667 : x
  2. Step 2: Convert to fraction form
    349,718/762,667 = 762,667/x
  3. Step 3: Cross multiply
    349,718x = 762,667 × 762,667
  4. Step 4: Simplify right side
    349,718x = 581,660,952,889
  5. Step 5: Solve for x
    x = 581,660,952,889/349,718
  6. Step 6: Final answer
    x = 1,663,228.52

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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.