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Finding the Third Proportional to 362,580 and 797,655

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Solution

The third proportional to 362,580 and 797,655 is: 1,754,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,580 : 797,655 = 797,655 : x
  2. Step 2: Convert to fraction form
    362,580/797,655 = 797,655/x
  3. Step 3: Cross multiply
    362,580x = 797,655 × 797,655
  4. Step 4: Simplify right side
    362,580x = 636,253,499,025
  5. Step 5: Solve for x
    x = 636,253,499,025/362,580
  6. Step 6: Final answer
    x = 1,754,794.80

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