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Finding the Third Proportional to 247,356 and 526,698

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Solution

The third proportional to 247,356 and 526,698 is: 1,121,504.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,356 : 526,698 = 526,698 : x
  2. Step 2: Convert to fraction form
    247,356/526,698 = 526,698/x
  3. Step 3: Cross multiply
    247,356x = 526,698 × 526,698
  4. Step 4: Simplify right side
    247,356x = 277,410,783,204
  5. Step 5: Solve for x
    x = 277,410,783,204/247,356
  6. Step 6: Final answer
    x = 1,121,504.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.