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Finding the Third Proportional to 278,664 and 593,292

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Solution

The third proportional to 278,664 and 593,292 is: 1,263,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,664 : 593,292 = 593,292 : x
  2. Step 2: Convert to fraction form
    278,664/593,292 = 593,292/x
  3. Step 3: Cross multiply
    278,664x = 593,292 × 593,292
  4. Step 4: Simplify right side
    278,664x = 351,995,397,264
  5. Step 5: Solve for x
    x = 351,995,397,264/278,664
  6. Step 6: Final answer
    x = 1,263,153.47

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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.