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Finding the Third Proportional to 262,502 and 560,990

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Solution

The third proportional to 262,502 and 560,990 is: 1,198,885.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,502 : 560,990 = 560,990 : x
  2. Step 2: Convert to fraction form
    262,502/560,990 = 560,990/x
  3. Step 3: Cross multiply
    262,502x = 560,990 × 560,990
  4. Step 4: Simplify right side
    262,502x = 314,709,780,100
  5. Step 5: Solve for x
    x = 314,709,780,100/262,502
  6. Step 6: Final answer
    x = 1,198,885.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.