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Finding the Third Proportional to 276,372 and 604,293

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Solution

The third proportional to 276,372 and 604,293 is: 1,321,298.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,372 : 604,293 = 604,293 : x
  2. Step 2: Convert to fraction form
    276,372/604,293 = 604,293/x
  3. Step 3: Cross multiply
    276,372x = 604,293 × 604,293
  4. Step 4: Simplify right side
    276,372x = 365,170,029,849
  5. Step 5: Solve for x
    x = 365,170,029,849/276,372
  6. Step 6: Final answer
    x = 1,321,298.94

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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.