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Finding the Third Proportional to 350,223.75 and 513,715.50

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Solution

The third proportional to 350,223.75 and 513,715.50 is: 753,528.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,223.75 : 513,715.50 = 513,715.50 : x
  2. Step 2: Convert to fraction form
    350,223.75/513,715.50 = 513,715.50/x
  3. Step 3: Cross multiply
    350,223.75x = 513,715.50 × 513,715.50
  4. Step 4: Simplify right side
    350,223.75x = 263,903,614,940.25
  5. Step 5: Solve for x
    x = 263,903,614,940.25/350,223.75
  6. Step 6: Final answer
    x = 753,528.61

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.