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Finding the Third Proportional to 273,846 and 592,620

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Solution

The third proportional to 273,846 and 592,620 is: 1,282,467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,846 : 592,620 = 592,620 : x
  2. Step 2: Convert to fraction form
    273,846/592,620 = 592,620/x
  3. Step 3: Cross multiply
    273,846x = 592,620 × 592,620
  4. Step 4: Simplify right side
    273,846x = 351,198,464,400
  5. Step 5: Solve for x
    x = 351,198,464,400/273,846
  6. Step 6: Final answer
    x = 1,282,467.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.