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Finding the Third Proportional to 350,505 and 760,060

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Solution

The third proportional to 350,505 and 760,060 is: 1,648,168.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,505 : 760,060 = 760,060 : x
  2. Step 2: Convert to fraction form
    350,505/760,060 = 760,060/x
  3. Step 3: Cross multiply
    350,505x = 760,060 × 760,060
  4. Step 4: Simplify right side
    350,505x = 577,691,203,600
  5. Step 5: Solve for x
    x = 577,691,203,600/350,505
  6. Step 6: Final answer
    x = 1,648,168.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.