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Finding the Third Proportional to 262,140 and 562,512

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Solution

The third proportional to 262,140 and 562,512 is: 1,207,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,140 : 562,512 = 562,512 : x
  2. Step 2: Convert to fraction form
    262,140/562,512 = 562,512/x
  3. Step 3: Cross multiply
    262,140x = 562,512 × 562,512
  4. Step 4: Simplify right side
    262,140x = 316,419,750,144
  5. Step 5: Solve for x
    x = 316,419,750,144/262,140
  6. Step 6: Final answer
    x = 1,207,063.97

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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.