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Finding the Third Proportional to 275,956 and 603,572

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Solution

The third proportional to 275,956 and 603,572 is: 1,320,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,956 : 603,572 = 603,572 : x
  2. Step 2: Convert to fraction form
    275,956/603,572 = 603,572/x
  3. Step 3: Cross multiply
    275,956x = 603,572 × 603,572
  4. Step 4: Simplify right side
    275,956x = 364,299,159,184
  5. Step 5: Solve for x
    x = 364,299,159,184/275,956
  6. Step 6: Final answer
    x = 1,320,134.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.