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Finding the Third Proportional to 234,794.25 and 513,868.50

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Solution

The third proportional to 234,794.25 and 513,868.50 is: 1,124,647.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,794.25 : 513,868.50 = 513,868.50 : x
  2. Step 2: Convert to fraction form
    234,794.25/513,868.50 = 513,868.50/x
  3. Step 3: Cross multiply
    234,794.25x = 513,868.50 × 513,868.50
  4. Step 4: Simplify right side
    234,794.25x = 264,060,835,292.25
  5. Step 5: Solve for x
    x = 264,060,835,292.25/234,794.25
  6. Step 6: Final answer
    x = 1,124,647.79

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.