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Finding the Third Proportional to 265,996 and 399,642

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Solution

The third proportional to 265,996 and 399,642 is: 600,436.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,996 : 399,642 = 399,642 : x
  2. Step 2: Convert to fraction form
    265,996/399,642 = 399,642/x
  3. Step 3: Cross multiply
    265,996x = 399,642 × 399,642
  4. Step 4: Simplify right side
    265,996x = 159,713,728,164
  5. Step 5: Solve for x
    x = 159,713,728,164/265,996
  6. Step 6: Final answer
    x = 600,436.58

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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.