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Finding the Third Proportional to 340,548.75 and 722,607.75

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Solution

The third proportional to 340,548.75 and 722,607.75 is: 1,533,295.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,548.75 : 722,607.75 = 722,607.75 : x
  2. Step 2: Convert to fraction form
    340,548.75/722,607.75 = 722,607.75/x
  3. Step 3: Cross multiply
    340,548.75x = 722,607.75 × 722,607.75
  4. Step 4: Simplify right side
    340,548.75x = 522,161,960,360.06
  5. Step 5: Solve for x
    x = 522,161,960,360.06/340,548.75
  6. Step 6: Final answer
    x = 1,533,295.78

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.