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Finding the Third Proportional to 296,460 and 443,880

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Solution

The third proportional to 296,460 and 443,880 is: 664,607.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,460 : 443,880 = 443,880 : x
  2. Step 2: Convert to fraction form
    296,460/443,880 = 443,880/x
  3. Step 3: Cross multiply
    296,460x = 443,880 × 443,880
  4. Step 4: Simplify right side
    296,460x = 197,029,454,400
  5. Step 5: Solve for x
    x = 197,029,454,400/296,460
  6. Step 6: Final answer
    x = 664,607.21

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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.