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Finding the Third Proportional to 292,212 and 682,719

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Solution

The third proportional to 292,212 and 682,719 is: 1,595,092.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,212 : 682,719 = 682,719 : x
  2. Step 2: Convert to fraction form
    292,212/682,719 = 682,719/x
  3. Step 3: Cross multiply
    292,212x = 682,719 × 682,719
  4. Step 4: Simplify right side
    292,212x = 466,105,232,961
  5. Step 5: Solve for x
    x = 466,105,232,961/292,212
  6. Step 6: Final answer
    x = 1,595,092.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.