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Finding the Third Proportional to 294,292 and 442,338

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Solution

The third proportional to 294,292 and 442,338 is: 664,859.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,292 : 442,338 = 442,338 : x
  2. Step 2: Convert to fraction form
    294,292/442,338 = 442,338/x
  3. Step 3: Cross multiply
    294,292x = 442,338 × 442,338
  4. Step 4: Simplify right side
    294,292x = 195,662,906,244
  5. Step 5: Solve for x
    x = 195,662,906,244/294,292
  6. Step 6: Final answer
    x = 664,859.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.