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Finding the Third Proportional to 262,580 and 393,782

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Solution

The third proportional to 262,580 and 393,782 is: 590,541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,580 : 393,782 = 393,782 : x
  2. Step 2: Convert to fraction form
    262,580/393,782 = 393,782/x
  3. Step 3: Cross multiply
    262,580x = 393,782 × 393,782
  4. Step 4: Simplify right side
    262,580x = 155,064,263,524
  5. Step 5: Solve for x
    x = 155,064,263,524/262,580
  6. Step 6: Final answer
    x = 590,541.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.