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Finding the Third Proportional to 289,178.25 and 613,347.75

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Solution

The third proportional to 289,178.25 and 613,347.75 is: 1,300,912.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,178.25 : 613,347.75 = 613,347.75 : x
  2. Step 2: Convert to fraction form
    289,178.25/613,347.75 = 613,347.75/x
  3. Step 3: Cross multiply
    289,178.25x = 613,347.75 × 613,347.75
  4. Step 4: Simplify right side
    289,178.25x = 376,195,462,430.06
  5. Step 5: Solve for x
    x = 376,195,462,430.06/289,178.25
  6. Step 6: Final answer
    x = 1,300,912.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.