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Finding the Third Proportional to 350,069 and 524,995

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Solution

The third proportional to 350,069 and 524,995 is: 787,329.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,069 : 524,995 = 524,995 : x
  2. Step 2: Convert to fraction form
    350,069/524,995 = 524,995/x
  3. Step 3: Cross multiply
    350,069x = 524,995 × 524,995
  4. Step 4: Simplify right side
    350,069x = 275,619,750,025
  5. Step 5: Solve for x
    x = 275,619,750,025/350,069
  6. Step 6: Final answer
    x = 787,329.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.