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Finding the Third Proportional to 262,962 and 393,987

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Solution

The third proportional to 262,962 and 393,987 is: 590,297.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,962 : 393,987 = 393,987 : x
  2. Step 2: Convert to fraction form
    262,962/393,987 = 393,987/x
  3. Step 3: Cross multiply
    262,962x = 393,987 × 393,987
  4. Step 4: Simplify right side
    262,962x = 155,225,756,169
  5. Step 5: Solve for x
    x = 155,225,756,169/262,962
  6. Step 6: Final answer
    x = 590,297.29

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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.