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Finding the Third Proportional to 283,998.25 and 607,891

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Solution

The third proportional to 283,998.25 and 607,891 is: 1,301,175.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,998.25 : 607,891 = 607,891 : x
  2. Step 2: Convert to fraction form
    283,998.25/607,891 = 607,891/x
  3. Step 3: Cross multiply
    283,998.25x = 607,891 × 607,891
  4. Step 4: Simplify right side
    283,998.25x = 369,531,467,881
  5. Step 5: Solve for x
    x = 369,531,467,881/283,998.25
  6. Step 6: Final answer
    x = 1,301,175.16

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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.