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Finding the Third Proportional to 276,593 and 603,453

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Solution

The third proportional to 276,593 and 603,453 is: 1,316,575.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,593 : 603,453 = 603,453 : x
  2. Step 2: Convert to fraction form
    276,593/603,453 = 603,453/x
  3. Step 3: Cross multiply
    276,593x = 603,453 × 603,453
  4. Step 4: Simplify right side
    276,593x = 364,155,523,209
  5. Step 5: Solve for x
    x = 364,155,523,209/276,593
  6. Step 6: Final answer
    x = 1,316,575.34

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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.