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Finding the Third Proportional to 290,338.50 and 625,171.50

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Solution

The third proportional to 290,338.50 and 625,171.50 is: 1,346,150.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,338.50 : 625,171.50 = 625,171.50 : x
  2. Step 2: Convert to fraction form
    290,338.50/625,171.50 = 625,171.50/x
  3. Step 3: Cross multiply
    290,338.50x = 625,171.50 × 625,171.50
  4. Step 4: Simplify right side
    290,338.50x = 390,839,404,412.25
  5. Step 5: Solve for x
    x = 390,839,404,412.25/290,338.50
  6. Step 6: Final answer
    x = 1,346,150.80

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.