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Finding the Third Proportional to 276,639 and 603,534

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Solution

The third proportional to 276,639 and 603,534 is: 1,316,709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,639 : 603,534 = 603,534 : x
  2. Step 2: Convert to fraction form
    276,639/603,534 = 603,534/x
  3. Step 3: Cross multiply
    276,639x = 603,534 × 603,534
  4. Step 4: Simplify right side
    276,639x = 364,253,289,156
  5. Step 5: Solve for x
    x = 364,253,289,156/276,639
  6. Step 6: Final answer
    x = 1,316,709.82

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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.