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Finding the Third Proportional to 247,269 and 529,530

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Solution

The third proportional to 247,269 and 529,530 is: 1,133,995.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,269 : 529,530 = 529,530 : x
  2. Step 2: Convert to fraction form
    247,269/529,530 = 529,530/x
  3. Step 3: Cross multiply
    247,269x = 529,530 × 529,530
  4. Step 4: Simplify right side
    247,269x = 280,402,020,900
  5. Step 5: Solve for x
    x = 280,402,020,900/247,269
  6. Step 6: Final answer
    x = 1,133,995.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.