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Finding the Third Proportional to 293,375 and 442,871

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Solution

The third proportional to 293,375 and 442,871 is: 668,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,375 : 442,871 = 442,871 : x
  2. Step 2: Convert to fraction form
    293,375/442,871 = 442,871/x
  3. Step 3: Cross multiply
    293,375x = 442,871 × 442,871
  4. Step 4: Simplify right side
    293,375x = 196,134,722,641
  5. Step 5: Solve for x
    x = 196,134,722,641/293,375
  6. Step 6: Final answer
    x = 668,546.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.