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Finding the Third Proportional to 247,308 and 534,036

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Solution

The third proportional to 247,308 and 534,036 is: 1,153,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,308 : 534,036 = 534,036 : x
  2. Step 2: Convert to fraction form
    247,308/534,036 = 534,036/x
  3. Step 3: Cross multiply
    247,308x = 534,036 × 534,036
  4. Step 4: Simplify right side
    247,308x = 285,194,449,296
  5. Step 5: Solve for x
    x = 285,194,449,296/247,308
  6. Step 6: Final answer
    x = 1,153,195.41

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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.