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Finding the Third Proportional to 350,038.50 and 522,825

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Solution

The third proportional to 350,038.50 and 522,825 is: 780,902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,038.50 : 522,825 = 522,825 : x
  2. Step 2: Convert to fraction form
    350,038.50/522,825 = 522,825/x
  3. Step 3: Cross multiply
    350,038.50x = 522,825 × 522,825
  4. Step 4: Simplify right side
    350,038.50x = 273,345,980,625
  5. Step 5: Solve for x
    x = 273,345,980,625/350,038.50
  6. Step 6: Final answer
    x = 780,902.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.