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Finding the Third Proportional to 262,527.50 and 561,041

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Solution

The third proportional to 262,527.50 and 561,041 is: 1,198,986.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,527.50 : 561,041 = 561,041 : x
  2. Step 2: Convert to fraction form
    262,527.50/561,041 = 561,041/x
  3. Step 3: Cross multiply
    262,527.50x = 561,041 × 561,041
  4. Step 4: Simplify right side
    262,527.50x = 314,767,003,681
  5. Step 5: Solve for x
    x = 314,767,003,681/262,527.50
  6. Step 6: Final answer
    x = 1,198,986.79

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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.