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Finding the Third Proportional to 399,728 and 593,536

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Solution

The third proportional to 399,728 and 593,536 is: 881,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,728 : 593,536 = 593,536 : x
  2. Step 2: Convert to fraction form
    399,728/593,536 = 593,536/x
  3. Step 3: Cross multiply
    399,728x = 593,536 × 593,536
  4. Step 4: Simplify right side
    399,728x = 352,284,983,296
  5. Step 5: Solve for x
    x = 352,284,983,296/399,728
  6. Step 6: Final answer
    x = 881,311.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.