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Finding the Third Proportional to 350,000.50 and 524,892.75

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Solution

The third proportional to 350,000.50 and 524,892.75 is: 787,177.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,000.50 : 524,892.75 = 524,892.75 : x
  2. Step 2: Convert to fraction form
    350,000.50/524,892.75 = 524,892.75/x
  3. Step 3: Cross multiply
    350,000.50x = 524,892.75 × 524,892.75
  4. Step 4: Simplify right side
    350,000.50x = 275,512,399,002.56
  5. Step 5: Solve for x
    x = 275,512,399,002.56/350,000.50
  6. Step 6: Final answer
    x = 787,177.16

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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.