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Finding the Third Proportional to 296,448 and 443,232

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Solution

The third proportional to 296,448 and 443,232 is: 662,694.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,448 : 443,232 = 443,232 : x
  2. Step 2: Convert to fraction form
    296,448/443,232 = 443,232/x
  3. Step 3: Cross multiply
    296,448x = 443,232 × 443,232
  4. Step 4: Simplify right side
    296,448x = 196,454,605,824
  5. Step 5: Solve for x
    x = 196,454,605,824/296,448
  6. Step 6: Final answer
    x = 662,694.99

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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.