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Finding the Third Proportional to 262,538 and 572,589

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Solution

The third proportional to 262,538 and 572,589 is: 1,248,802.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,538 : 572,589 = 572,589 : x
  2. Step 2: Convert to fraction form
    262,538/572,589 = 572,589/x
  3. Step 3: Cross multiply
    262,538x = 572,589 × 572,589
  4. Step 4: Simplify right side
    262,538x = 327,858,162,921
  5. Step 5: Solve for x
    x = 327,858,162,921/262,538
  6. Step 6: Final answer
    x = 1,248,802.70

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Why These Related Problems?

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