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Finding the Third Proportional to 276,638 and 603,532

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Solution

The third proportional to 276,638 and 603,532 is: 1,316,705.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,638 : 603,532 = 603,532 : x
  2. Step 2: Convert to fraction form
    276,638/603,532 = 603,532/x
  3. Step 3: Cross multiply
    276,638x = 603,532 × 603,532
  4. Step 4: Simplify right side
    276,638x = 364,250,875,024
  5. Step 5: Solve for x
    x = 364,250,875,024/276,638
  6. Step 6: Final answer
    x = 1,316,705.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.