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Finding the Third Proportional to 350,006 and 524,899

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Solution

The third proportional to 350,006 and 524,899 is: 787,183.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,006 : 524,899 = 524,899 : x
  2. Step 2: Convert to fraction form
    350,006/524,899 = 524,899/x
  3. Step 3: Cross multiply
    350,006x = 524,899 × 524,899
  4. Step 4: Simplify right side
    350,006x = 275,518,960,201
  5. Step 5: Solve for x
    x = 275,518,960,201/350,006
  6. Step 6: Final answer
    x = 787,183.53

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Why These Related Problems?

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