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Finding the Third Proportional to 267,983 and 426,574

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Solution

The third proportional to 267,983 and 426,574 is: 679,018.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,983 : 426,574 = 426,574 : x
  2. Step 2: Convert to fraction form
    267,983/426,574 = 426,574/x
  3. Step 3: Cross multiply
    267,983x = 426,574 × 426,574
  4. Step 4: Simplify right side
    267,983x = 181,965,377,476
  5. Step 5: Solve for x
    x = 181,965,377,476/267,983
  6. Step 6: Final answer
    x = 679,018.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.