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Finding the Third Proportional to 278,803 and 593,569

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Solution

The third proportional to 278,803 and 593,569 is: 1,263,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,803 : 593,569 = 593,569 : x
  2. Step 2: Convert to fraction form
    278,803/593,569 = 593,569/x
  3. Step 3: Cross multiply
    278,803x = 593,569 × 593,569
  4. Step 4: Simplify right side
    278,803x = 352,324,157,761
  5. Step 5: Solve for x
    x = 352,324,157,761/278,803
  6. Step 6: Final answer
    x = 1,263,702.89

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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.