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Finding the Third Proportional to 362,567 and 797,629

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Solution

The third proportional to 362,567 and 797,629 is: 1,754,743.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,567 : 797,629 = 797,629 : x
  2. Step 2: Convert to fraction form
    362,567/797,629 = 797,629/x
  3. Step 3: Cross multiply
    362,567x = 797,629 × 797,629
  4. Step 4: Simplify right side
    362,567x = 636,212,021,641
  5. Step 5: Solve for x
    x = 636,212,021,641/362,567
  6. Step 6: Final answer
    x = 1,754,743.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.