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Finding the Third Proportional to 247,004 and 513,388

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Solution

The third proportional to 247,004 and 513,388 is: 1,067,056.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,004 : 513,388 = 513,388 : x
  2. Step 2: Convert to fraction form
    247,004/513,388 = 513,388/x
  3. Step 3: Cross multiply
    247,004x = 513,388 × 513,388
  4. Step 4: Simplify right side
    247,004x = 263,567,238,544
  5. Step 5: Solve for x
    x = 263,567,238,544/247,004
  6. Step 6: Final answer
    x = 1,067,056.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.