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Finding the Third Proportional to 666,399 and 952,287

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Solution

The third proportional to 666,399 and 952,287 is: 1,360,822.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,399 : 952,287 = 952,287 : x
  2. Step 2: Convert to fraction form
    666,399/952,287 = 952,287/x
  3. Step 3: Cross multiply
    666,399x = 952,287 × 952,287
  4. Step 4: Simplify right side
    666,399x = 906,850,530,369
  5. Step 5: Solve for x
    x = 906,850,530,369/666,399
  6. Step 6: Final answer
    x = 1,360,822.17

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.