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Finding the Third Proportional to 288,384 and 385,756

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Solution

The third proportional to 288,384 and 385,756 is: 516,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,384 : 385,756 = 385,756 : x
  2. Step 2: Convert to fraction form
    288,384/385,756 = 385,756/x
  3. Step 3: Cross multiply
    288,384x = 385,756 × 385,756
  4. Step 4: Simplify right side
    288,384x = 148,807,691,536
  5. Step 5: Solve for x
    x = 148,807,691,536/288,384
  6. Step 6: Final answer
    x = 516,005.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.