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Finding the Third Proportional to 262,212 and 572,040

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Solution

The third proportional to 262,212 and 572,040 is: 1,247,958.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,212 : 572,040 = 572,040 : x
  2. Step 2: Convert to fraction form
    262,212/572,040 = 572,040/x
  3. Step 3: Cross multiply
    262,212x = 572,040 × 572,040
  4. Step 4: Simplify right side
    262,212x = 327,229,761,600
  5. Step 5: Solve for x
    x = 327,229,761,600/262,212
  6. Step 6: Final answer
    x = 1,247,958.76

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.