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Finding the Third Proportional to 267,373 and 594,521

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Solution

The third proportional to 267,373 and 594,521 is: 1,321,955.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,373 : 594,521 = 594,521 : x
  2. Step 2: Convert to fraction form
    267,373/594,521 = 594,521/x
  3. Step 3: Cross multiply
    267,373x = 594,521 × 594,521
  4. Step 4: Simplify right side
    267,373x = 353,455,219,441
  5. Step 5: Solve for x
    x = 353,455,219,441/267,373
  6. Step 6: Final answer
    x = 1,321,955.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.