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Finding the Third Proportional to 290,376 and 683,178.75

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Solution

The third proportional to 290,376 and 683,178.75 is: 1,607,340.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,376 : 683,178.75 = 683,178.75 : x
  2. Step 2: Convert to fraction form
    290,376/683,178.75 = 683,178.75/x
  3. Step 3: Cross multiply
    290,376x = 683,178.75 × 683,178.75
  4. Step 4: Simplify right side
    290,376x = 466,733,204,451.56
  5. Step 5: Solve for x
    x = 466,733,204,451.56/290,376
  6. Step 6: Final answer
    x = 1,607,340.84

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.