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Finding the Third Proportional to 562,234.50 and 801,297.56

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Solution

The third proportional to 562,234.50 and 801,297.56 is: 1,142,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,234.50 : 801,297.56 = 801,297.56 : x
  2. Step 2: Convert to fraction form
    562,234.50/801,297.56 = 801,297.56/x
  3. Step 3: Cross multiply
    562,234.50x = 801,297.56 × 801,297.56
  4. Step 4: Simplify right side
    562,234.50x = 642,077,783,668.44
  5. Step 5: Solve for x
    x = 642,077,783,668.44/562,234.50
  6. Step 6: Final answer
    x = 1,142,010.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.