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Finding the Third Proportional to 276,064 and 606,397

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Solution

The third proportional to 276,064 and 606,397 is: 1,332,000.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,064 : 606,397 = 606,397 : x
  2. Step 2: Convert to fraction form
    276,064/606,397 = 606,397/x
  3. Step 3: Cross multiply
    276,064x = 606,397 × 606,397
  4. Step 4: Simplify right side
    276,064x = 367,717,321,609
  5. Step 5: Solve for x
    x = 367,717,321,609/276,064
  6. Step 6: Final answer
    x = 1,332,000.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.