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Finding the Third Proportional to 273,844 and 592,616

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Solution

The third proportional to 273,844 and 592,616 is: 1,282,459.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,844 : 592,616 = 592,616 : x
  2. Step 2: Convert to fraction form
    273,844/592,616 = 592,616/x
  3. Step 3: Cross multiply
    273,844x = 592,616 × 592,616
  4. Step 4: Simplify right side
    273,844x = 351,193,723,456
  5. Step 5: Solve for x
    x = 351,193,723,456/273,844
  6. Step 6: Final answer
    x = 1,282,459.08

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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.