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Finding the Third Proportional to 276,837 and 586,479

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Solution

The third proportional to 276,837 and 586,479 is: 1,242,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,837 : 586,479 = 586,479 : x
  2. Step 2: Convert to fraction form
    276,837/586,479 = 586,479/x
  3. Step 3: Cross multiply
    276,837x = 586,479 × 586,479
  4. Step 4: Simplify right side
    276,837x = 343,957,617,441
  5. Step 5: Solve for x
    x = 343,957,617,441/276,837
  6. Step 6: Final answer
    x = 1,242,455.37

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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.