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Finding the Third Proportional to 362,665.69 and 559,222.31

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Solution

The third proportional to 362,665.69 and 559,222.31 is: 862,308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,665.69 : 559,222.31 = 559,222.31 : x
  2. Step 2: Convert to fraction form
    362,665.69/559,222.31 = 559,222.31/x
  3. Step 3: Cross multiply
    362,665.69x = 559,222.31 × 559,222.31
  4. Step 4: Simplify right side
    362,665.69x = 312,729,594,797.85
  5. Step 5: Solve for x
    x = 312,729,594,797.85/362,665.69
  6. Step 6: Final answer
    x = 862,308.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.