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Finding the Third Proportional to 362,565 and 797,625

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Solution

The third proportional to 362,565 and 797,625 is: 1,754,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,565 : 797,625 = 797,625 : x
  2. Step 2: Convert to fraction form
    362,565/797,625 = 797,625/x
  3. Step 3: Cross multiply
    362,565x = 797,625 × 797,625
  4. Step 4: Simplify right side
    362,565x = 636,205,640,625
  5. Step 5: Solve for x
    x = 636,205,640,625/362,565
  6. Step 6: Final answer
    x = 1,754,735.40

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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.