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Finding the Third Proportional to 310,515.75 and 455,550.75

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Solution

The third proportional to 310,515.75 and 455,550.75 is: 668,328.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,515.75 : 455,550.75 = 455,550.75 : x
  2. Step 2: Convert to fraction form
    310,515.75/455,550.75 = 455,550.75/x
  3. Step 3: Cross multiply
    310,515.75x = 455,550.75 × 455,550.75
  4. Step 4: Simplify right side
    310,515.75x = 207,526,485,825.56
  5. Step 5: Solve for x
    x = 207,526,485,825.56/310,515.75
  6. Step 6: Final answer
    x = 668,328.37

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.