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Finding the Third Proportional to 267,646 and 594,332

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Solution

The third proportional to 267,646 and 594,332 is: 1,319,767.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,646 : 594,332 = 594,332 : x
  2. Step 2: Convert to fraction form
    267,646/594,332 = 594,332/x
  3. Step 3: Cross multiply
    267,646x = 594,332 × 594,332
  4. Step 4: Simplify right side
    267,646x = 353,230,526,224
  5. Step 5: Solve for x
    x = 353,230,526,224/267,646
  6. Step 6: Final answer
    x = 1,319,767.63

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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.