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Finding the Third Proportional to 385,294.50 and 836,247

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Solution

The third proportional to 385,294.50 and 836,247 is: 1,814,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,294.50 : 836,247 = 836,247 : x
  2. Step 2: Convert to fraction form
    385,294.50/836,247 = 836,247/x
  3. Step 3: Cross multiply
    385,294.50x = 836,247 × 836,247
  4. Step 4: Simplify right side
    385,294.50x = 699,309,045,009
  5. Step 5: Solve for x
    x = 699,309,045,009/385,294.50
  6. Step 6: Final answer
    x = 1,814,998.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.