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Finding the Third Proportional to 276,782 and 596,013

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Solution

The third proportional to 276,782 and 596,013 is: 1,283,434.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,782 : 596,013 = 596,013 : x
  2. Step 2: Convert to fraction form
    276,782/596,013 = 596,013/x
  3. Step 3: Cross multiply
    276,782x = 596,013 × 596,013
  4. Step 4: Simplify right side
    276,782x = 355,231,496,169
  5. Step 5: Solve for x
    x = 355,231,496,169/276,782
  6. Step 6: Final answer
    x = 1,283,434.24

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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.