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Finding the Third Proportional to 278,823 and 593,592

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Solution

The third proportional to 278,823 and 593,592 is: 1,263,710.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,823 : 593,592 = 593,592 : x
  2. Step 2: Convert to fraction form
    278,823/593,592 = 593,592/x
  3. Step 3: Cross multiply
    278,823x = 593,592 × 593,592
  4. Step 4: Simplify right side
    278,823x = 352,351,462,464
  5. Step 5: Solve for x
    x = 352,351,462,464/278,823
  6. Step 6: Final answer
    x = 1,263,710.18

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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.