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Finding the Third Proportional to 344,686 and 729,114

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Solution

The third proportional to 344,686 and 729,114 is: 1,542,294.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,686 : 729,114 = 729,114 : x
  2. Step 2: Convert to fraction form
    344,686/729,114 = 729,114/x
  3. Step 3: Cross multiply
    344,686x = 729,114 × 729,114
  4. Step 4: Simplify right side
    344,686x = 531,607,224,996
  5. Step 5: Solve for x
    x = 531,607,224,996/344,686
  6. Step 6: Final answer
    x = 1,542,294.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.