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Finding the Third Proportional to 247,025 and 531,499

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Solution

The third proportional to 247,025 and 531,499 is: 1,143,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,025 : 531,499 = 531,499 : x
  2. Step 2: Convert to fraction form
    247,025/531,499 = 531,499/x
  3. Step 3: Cross multiply
    247,025x = 531,499 × 531,499
  4. Step 4: Simplify right side
    247,025x = 282,491,187,001
  5. Step 5: Solve for x
    x = 282,491,187,001/247,025
  6. Step 6: Final answer
    x = 1,143,573.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.