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Finding the Third Proportional to 247,024 and 533,216

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Solution

The third proportional to 247,024 and 533,216 is: 1,150,978.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,024 : 533,216 = 533,216 : x
  2. Step 2: Convert to fraction form
    247,024/533,216 = 533,216/x
  3. Step 3: Cross multiply
    247,024x = 533,216 × 533,216
  4. Step 4: Simplify right side
    247,024x = 284,319,302,656
  5. Step 5: Solve for x
    x = 284,319,302,656/247,024
  6. Step 6: Final answer
    x = 1,150,978.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.