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Finding the Third Proportional to 301,268.25 and 428,301

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Solution

The third proportional to 301,268.25 and 428,301 is: 608,898.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,268.25 : 428,301 = 428,301 : x
  2. Step 2: Convert to fraction form
    301,268.25/428,301 = 428,301/x
  3. Step 3: Cross multiply
    301,268.25x = 428,301 × 428,301
  4. Step 4: Simplify right side
    301,268.25x = 183,441,746,601
  5. Step 5: Solve for x
    x = 183,441,746,601/301,268.25
  6. Step 6: Final answer
    x = 608,898.37

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.