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Finding the Third Proportional to 214,521.75 and 471,889.13

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Solution

The third proportional to 214,521.75 and 471,889.13 is: 1,038,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,521.75 : 471,889.13 = 471,889.13 : x
  2. Step 2: Convert to fraction form
    214,521.75/471,889.13 = 471,889.13/x
  3. Step 3: Cross multiply
    214,521.75x = 471,889.13 × 471,889.13
  4. Step 4: Simplify right side
    214,521.75x = 222,679,346,293.27
  5. Step 5: Solve for x
    x = 222,679,346,293.27/214,521.75
  6. Step 6: Final answer
    x = 1,038,026.90

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.