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Finding the Third Proportional to 350,000 and 524,892

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Solution

The third proportional to 350,000 and 524,892 is: 787,176.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,000 : 524,892 = 524,892 : x
  2. Step 2: Convert to fraction form
    350,000/524,892 = 524,892/x
  3. Step 3: Cross multiply
    350,000x = 524,892 × 524,892
  4. Step 4: Simplify right side
    350,000x = 275,511,611,664
  5. Step 5: Solve for x
    x = 275,511,611,664/350,000
  6. Step 6: Final answer
    x = 787,176.03

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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.