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Finding the Third Proportional to 458,412.75 and 622,562.63

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Solution

The third proportional to 458,412.75 and 622,562.63 is: 845,491.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,412.75 : 622,562.63 = 622,562.63 : x
  2. Step 2: Convert to fraction form
    458,412.75/622,562.63 = 622,562.63/x
  3. Step 3: Cross multiply
    458,412.75x = 622,562.63 × 622,562.63
  4. Step 4: Simplify right side
    458,412.75x = 387,584,222,046.89
  5. Step 5: Solve for x
    x = 387,584,222,046.89/458,412.75
  6. Step 6: Final answer
    x = 845,491.80

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.