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Finding the Third Proportional to 350,035.50 and 522,820.50

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Solution

The third proportional to 350,035.50 and 522,820.50 is: 780,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,035.50 : 522,820.50 = 522,820.50 : x
  2. Step 2: Convert to fraction form
    350,035.50/522,820.50 = 522,820.50/x
  3. Step 3: Cross multiply
    350,035.50x = 522,820.50 × 522,820.50
  4. Step 4: Simplify right side
    350,035.50x = 273,341,275,220.25
  5. Step 5: Solve for x
    x = 273,341,275,220.25/350,035.50
  6. Step 6: Final answer
    x = 780,895.87

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