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Finding the Third Proportional to 293,098 and 627,668

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Solution

The third proportional to 293,098 and 627,668 is: 1,344,148.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,098 : 627,668 = 627,668 : x
  2. Step 2: Convert to fraction form
    293,098/627,668 = 627,668/x
  3. Step 3: Cross multiply
    293,098x = 627,668 × 627,668
  4. Step 4: Simplify right side
    293,098x = 393,967,118,224
  5. Step 5: Solve for x
    x = 393,967,118,224/293,098
  6. Step 6: Final answer
    x = 1,344,148.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.