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Finding the Third Proportional to 312,611.25 and 484,360.50

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Solution

The third proportional to 312,611.25 and 484,360.50 is: 750,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,611.25 : 484,360.50 = 484,360.50 : x
  2. Step 2: Convert to fraction form
    312,611.25/484,360.50 = 484,360.50/x
  3. Step 3: Cross multiply
    312,611.25x = 484,360.50 × 484,360.50
  4. Step 4: Simplify right side
    312,611.25x = 234,605,093,960.25
  5. Step 5: Solve for x
    x = 234,605,093,960.25/312,611.25
  6. Step 6: Final answer
    x = 750,469.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.