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Finding the Third Proportional to 644,224.50 and 851,802.75

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Solution

The third proportional to 644,224.50 and 851,802.75 is: 1,126,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,224.50 : 851,802.75 = 851,802.75 : x
  2. Step 2: Convert to fraction form
    644,224.50/851,802.75 = 851,802.75/x
  3. Step 3: Cross multiply
    644,224.50x = 851,802.75 × 851,802.75
  4. Step 4: Simplify right side
    644,224.50x = 725,567,924,907.56
  5. Step 5: Solve for x
    x = 725,567,924,907.56/644,224.50
  6. Step 6: Final answer
    x = 1,126,265.65

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.