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Finding the Third Proportional to 211,073 and 444,013

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Solution

The third proportional to 211,073 and 444,013 is: 934,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,073 : 444,013 = 444,013 : x
  2. Step 2: Convert to fraction form
    211,073/444,013 = 444,013/x
  3. Step 3: Cross multiply
    211,073x = 444,013 × 444,013
  4. Step 4: Simplify right side
    211,073x = 197,147,544,169
  5. Step 5: Solve for x
    x = 197,147,544,169/211,073
  6. Step 6: Final answer
    x = 934,025.40

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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.