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Finding the Third Proportional to 296,466.75 and 443,890.13

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Solution

The third proportional to 296,466.75 and 443,890.13 is: 664,622.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,466.75 : 443,890.13 = 443,890.13 : x
  2. Step 2: Convert to fraction form
    296,466.75/443,890.13 = 443,890.13/x
  3. Step 3: Cross multiply
    296,466.75x = 443,890.13 × 443,890.13
  4. Step 4: Simplify right side
    296,466.75x = 197,038,443,072.52
  5. Step 5: Solve for x
    x = 197,038,443,072.52/296,466.75
  6. Step 6: Final answer
    x = 664,622.40

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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.