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Finding the Third Proportional to 211,063.50 and 443,997

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Solution

The third proportional to 211,063.50 and 443,997 is: 934,000.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,063.50 : 443,997 = 443,997 : x
  2. Step 2: Convert to fraction form
    211,063.50/443,997 = 443,997/x
  3. Step 3: Cross multiply
    211,063.50x = 443,997 × 443,997
  4. Step 4: Simplify right side
    211,063.50x = 197,133,336,009
  5. Step 5: Solve for x
    x = 197,133,336,009/211,063.50
  6. Step 6: Final answer
    x = 934,000.13

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.