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Finding the Third Proportional to 350,046 and 763,443

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Solution

The third proportional to 350,046 and 763,443 is: 1,665,053.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,046 : 763,443 = 763,443 : x
  2. Step 2: Convert to fraction form
    350,046/763,443 = 763,443/x
  3. Step 3: Cross multiply
    350,046x = 763,443 × 763,443
  4. Step 4: Simplify right side
    350,046x = 582,845,214,249
  5. Step 5: Solve for x
    x = 582,845,214,249/350,046
  6. Step 6: Final answer
    x = 1,665,053.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.