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Finding the Third Proportional to 274,864 and 583,424

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Solution

The third proportional to 274,864 and 583,424 is: 1,238,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,864 : 583,424 = 583,424 : x
  2. Step 2: Convert to fraction form
    274,864/583,424 = 583,424/x
  3. Step 3: Cross multiply
    274,864x = 583,424 × 583,424
  4. Step 4: Simplify right side
    274,864x = 340,383,563,776
  5. Step 5: Solve for x
    x = 340,383,563,776/274,864
  6. Step 6: Final answer
    x = 1,238,370.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.