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Finding the Third Proportional to 213,401.25 and 457,231.50

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Solution

The third proportional to 213,401.25 and 457,231.50 is: 979,659.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,401.25 : 457,231.50 = 457,231.50 : x
  2. Step 2: Convert to fraction form
    213,401.25/457,231.50 = 457,231.50/x
  3. Step 3: Cross multiply
    213,401.25x = 457,231.50 × 457,231.50
  4. Step 4: Simplify right side
    213,401.25x = 209,060,644,592.25
  5. Step 5: Solve for x
    x = 209,060,644,592.25/213,401.25
  6. Step 6: Final answer
    x = 979,659.89

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.