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Finding the Third Proportional to 296,464.50 and 443,886.75

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Solution

The third proportional to 296,464.50 and 443,886.75 is: 664,617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,464.50 : 443,886.75 = 443,886.75 : x
  2. Step 2: Convert to fraction form
    296,464.50/443,886.75 = 443,886.75/x
  3. Step 3: Cross multiply
    296,464.50x = 443,886.75 × 443,886.75
  4. Step 4: Simplify right side
    296,464.50x = 197,035,446,825.56
  5. Step 5: Solve for x
    x = 197,035,446,825.56/296,464.50
  6. Step 6: Final answer
    x = 664,617.34

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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.