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Finding the Third Proportional to 290,656 and 627,172

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Solution

The third proportional to 290,656 and 627,172 is: 1,353,299.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,656 : 627,172 = 627,172 : x
  2. Step 2: Convert to fraction form
    290,656/627,172 = 627,172/x
  3. Step 3: Cross multiply
    290,656x = 627,172 × 627,172
  4. Step 4: Simplify right side
    290,656x = 393,344,717,584
  5. Step 5: Solve for x
    x = 393,344,717,584/290,656
  6. Step 6: Final answer
    x = 1,353,299.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.