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Finding the Third Proportional to 295,328 and 454,494

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Solution

The third proportional to 295,328 and 454,494 is: 699,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,328 : 454,494 = 454,494 : x
  2. Step 2: Convert to fraction form
    295,328/454,494 = 454,494/x
  3. Step 3: Cross multiply
    295,328x = 454,494 × 454,494
  4. Step 4: Simplify right side
    295,328x = 206,564,796,036
  5. Step 5: Solve for x
    x = 206,564,796,036/295,328
  6. Step 6: Final answer
    x = 699,441.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.