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Finding the Third Proportional to 349,003.50 and 768,712.50

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Solution

The third proportional to 349,003.50 and 768,712.50 is: 1,693,160.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,003.50 : 768,712.50 = 768,712.50 : x
  2. Step 2: Convert to fraction form
    349,003.50/768,712.50 = 768,712.50/x
  3. Step 3: Cross multiply
    349,003.50x = 768,712.50 × 768,712.50
  4. Step 4: Simplify right side
    349,003.50x = 590,918,907,656.25
  5. Step 5: Solve for x
    x = 590,918,907,656.25/349,003.50
  6. Step 6: Final answer
    x = 1,693,160.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.