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Finding the Third Proportional to 292,167 and 628,722

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Solution

The third proportional to 292,167 and 628,722 is: 1,352,963.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,167 : 628,722 = 628,722 : x
  2. Step 2: Convert to fraction form
    292,167/628,722 = 628,722/x
  3. Step 3: Cross multiply
    292,167x = 628,722 × 628,722
  4. Step 4: Simplify right side
    292,167x = 395,291,353,284
  5. Step 5: Solve for x
    x = 395,291,353,284/292,167
  6. Step 6: Final answer
    x = 1,352,963.73

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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.