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Finding the Third Proportional to 278,786 and 593,536

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Solution

The third proportional to 278,786 and 593,536 is: 1,263,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,786 : 593,536 = 593,536 : x
  2. Step 2: Convert to fraction form
    278,786/593,536 = 593,536/x
  3. Step 3: Cross multiply
    278,786x = 593,536 × 593,536
  4. Step 4: Simplify right side
    278,786x = 352,284,983,296
  5. Step 5: Solve for x
    x = 352,284,983,296/278,786
  6. Step 6: Final answer
    x = 1,263,639.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.