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Finding the Third Proportional to 276,780 and 596,009

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Solution

The third proportional to 276,780 and 596,009 is: 1,283,426.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,780 : 596,009 = 596,009 : x
  2. Step 2: Convert to fraction form
    276,780/596,009 = 596,009/x
  3. Step 3: Cross multiply
    276,780x = 596,009 × 596,009
  4. Step 4: Simplify right side
    276,780x = 355,226,728,081
  5. Step 5: Solve for x
    x = 355,226,728,081/276,780
  6. Step 6: Final answer
    x = 1,283,426.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.