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Finding the Third Proportional to 211,048.50 and 443,967

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Solution

The third proportional to 211,048.50 and 443,967 is: 933,940.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,048.50 : 443,967 = 443,967 : x
  2. Step 2: Convert to fraction form
    211,048.50/443,967 = 443,967/x
  3. Step 3: Cross multiply
    211,048.50x = 443,967 × 443,967
  4. Step 4: Simplify right side
    211,048.50x = 197,106,697,089
  5. Step 5: Solve for x
    x = 197,106,697,089/211,048.50
  6. Step 6: Final answer
    x = 933,940.29

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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.