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Finding the Third Proportional to 247,212 and 531,696

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Solution

The third proportional to 247,212 and 531,696 is: 1,143,555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,212 : 531,696 = 531,696 : x
  2. Step 2: Convert to fraction form
    247,212/531,696 = 531,696/x
  3. Step 3: Cross multiply
    247,212x = 531,696 × 531,696
  4. Step 4: Simplify right side
    247,212x = 282,700,636,416
  5. Step 5: Solve for x
    x = 282,700,636,416/247,212
  6. Step 6: Final answer
    x = 1,143,555.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.