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Finding the Third Proportional to 294,966 and 639,882

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Solution

The third proportional to 294,966 and 639,882 is: 1,388,122.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,966 : 639,882 = 639,882 : x
  2. Step 2: Convert to fraction form
    294,966/639,882 = 639,882/x
  3. Step 3: Cross multiply
    294,966x = 639,882 × 639,882
  4. Step 4: Simplify right side
    294,966x = 409,448,973,924
  5. Step 5: Solve for x
    x = 409,448,973,924/294,966
  6. Step 6: Final answer
    x = 1,388,122.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.