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Finding the Third Proportional to 301,268.25 and 466,868.25

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Solution

The third proportional to 301,268.25 and 466,868.25 is: 723,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,268.25 : 466,868.25 = 466,868.25 : x
  2. Step 2: Convert to fraction form
    301,268.25/466,868.25 = 466,868.25/x
  3. Step 3: Cross multiply
    301,268.25x = 466,868.25 × 466,868.25
  4. Step 4: Simplify right side
    301,268.25x = 217,965,962,858.06
  5. Step 5: Solve for x
    x = 217,965,962,858.06/301,268.25
  6. Step 6: Final answer
    x = 723,494.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.