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Finding the Third Proportional to 348,686 and 744,973

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Solution

The third proportional to 348,686 and 744,973 is: 1,591,646.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,686 : 744,973 = 744,973 : x
  2. Step 2: Convert to fraction form
    348,686/744,973 = 744,973/x
  3. Step 3: Cross multiply
    348,686x = 744,973 × 744,973
  4. Step 4: Simplify right side
    348,686x = 554,984,770,729
  5. Step 5: Solve for x
    x = 554,984,770,729/348,686
  6. Step 6: Final answer
    x = 1,591,646.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.