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Finding the Third Proportional to 211,288.50 and 458,404.31

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Solution

The third proportional to 211,288.50 and 458,404.31 is: 994,538.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,288.50 : 458,404.31 = 458,404.31 : x
  2. Step 2: Convert to fraction form
    211,288.50/458,404.31 = 458,404.31/x
  3. Step 3: Cross multiply
    211,288.50x = 458,404.31 × 458,404.31
  4. Step 4: Simplify right side
    211,288.50x = 210,134,513,718.60
  5. Step 5: Solve for x
    x = 210,134,513,718.60/211,288.50
  6. Step 6: Final answer
    x = 994,538.34

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