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Finding the Third Proportional to 443,508.75 and 694,934.44

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Solution

The third proportional to 443,508.75 and 694,934.44 is: 1,088,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,508.75 : 694,934.44 = 694,934.44 : x
  2. Step 2: Convert to fraction form
    443,508.75/694,934.44 = 694,934.44/x
  3. Step 3: Cross multiply
    443,508.75x = 694,934.44 × 694,934.44
  4. Step 4: Simplify right side
    443,508.75x = 482,933,872,423.44
  5. Step 5: Solve for x
    x = 482,933,872,423.44/443,508.75
  6. Step 6: Final answer
    x = 1,088,893.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.