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Finding the Third Proportional to 276,556 and 597,400

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Solution

The third proportional to 276,556 and 597,400 is: 1,290,468.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,556 : 597,400 = 597,400 : x
  2. Step 2: Convert to fraction form
    276,556/597,400 = 597,400/x
  3. Step 3: Cross multiply
    276,556x = 597,400 × 597,400
  4. Step 4: Simplify right side
    276,556x = 356,886,760,000
  5. Step 5: Solve for x
    x = 356,886,760,000/276,556
  6. Step 6: Final answer
    x = 1,290,468.33

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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.