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Finding the Third Proportional to 267,364 and 594,498

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Solution

The third proportional to 267,364 and 594,498 is: 1,321,897.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,364 : 594,498 = 594,498 : x
  2. Step 2: Convert to fraction form
    267,364/594,498 = 594,498/x
  3. Step 3: Cross multiply
    267,364x = 594,498 × 594,498
  4. Step 4: Simplify right side
    267,364x = 353,427,872,004
  5. Step 5: Solve for x
    x = 353,427,872,004/267,364
  6. Step 6: Final answer
    x = 1,321,897.76

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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.