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Finding the Third Proportional to 443,002.50 and 664,359.75

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Solution

The third proportional to 443,002.50 and 664,359.75 is: 996,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,002.50 : 664,359.75 = 664,359.75 : x
  2. Step 2: Convert to fraction form
    443,002.50/664,359.75 = 664,359.75/x
  3. Step 3: Cross multiply
    443,002.50x = 664,359.75 × 664,359.75
  4. Step 4: Simplify right side
    443,002.50x = 441,373,877,420.06
  5. Step 5: Solve for x
    x = 441,373,877,420.06/443,002.50
  6. Step 6: Final answer
    x = 996,323.67

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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.