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Finding the Third Proportional to 211,005 and 458,055

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Solution

The third proportional to 211,005 and 458,055 is: 994,357.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,005 : 458,055 = 458,055 : x
  2. Step 2: Convert to fraction form
    211,005/458,055 = 458,055/x
  3. Step 3: Cross multiply
    211,005x = 458,055 × 458,055
  4. Step 4: Simplify right side
    211,005x = 209,814,383,025
  5. Step 5: Solve for x
    x = 209,814,383,025/211,005
  6. Step 6: Final answer
    x = 994,357.40

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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.