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Finding the Third Proportional to 295,334 and 442,905

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Solution

The third proportional to 295,334 and 442,905 is: 664,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,334 : 442,905 = 442,905 : x
  2. Step 2: Convert to fraction form
    295,334/442,905 = 442,905/x
  3. Step 3: Cross multiply
    295,334x = 442,905 × 442,905
  4. Step 4: Simplify right side
    295,334x = 196,164,839,025
  5. Step 5: Solve for x
    x = 196,164,839,025/295,334
  6. Step 6: Final answer
    x = 664,213.53

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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.