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Finding the Third Proportional to 513,522 and 751,268.25

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Solution

The third proportional to 513,522 and 751,268.25 is: 1,099,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,522 : 751,268.25 = 751,268.25 : x
  2. Step 2: Convert to fraction form
    513,522/751,268.25 = 751,268.25/x
  3. Step 3: Cross multiply
    513,522x = 751,268.25 × 751,268.25
  4. Step 4: Simplify right side
    513,522x = 564,403,983,458.06
  5. Step 5: Solve for x
    x = 564,403,983,458.06/513,522
  6. Step 6: Final answer
    x = 1,099,084.33

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.