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Finding the Third Proportional to 292,013 and 627,682

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Solution

The third proportional to 292,013 and 627,682 is: 1,349,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,013 : 627,682 = 627,682 : x
  2. Step 2: Convert to fraction form
    292,013/627,682 = 627,682/x
  3. Step 3: Cross multiply
    292,013x = 627,682 × 627,682
  4. Step 4: Simplify right side
    292,013x = 393,984,693,124
  5. Step 5: Solve for x
    x = 393,984,693,124/292,013
  6. Step 6: Final answer
    x = 1,349,202.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.