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Finding the Third Proportional to 290,650 and 627,164

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Solution

The third proportional to 290,650 and 627,164 is: 1,353,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,650 : 627,164 = 627,164 : x
  2. Step 2: Convert to fraction form
    290,650/627,164 = 627,164/x
  3. Step 3: Cross multiply
    290,650x = 627,164 × 627,164
  4. Step 4: Simplify right side
    290,650x = 393,334,682,896
  5. Step 5: Solve for x
    x = 393,334,682,896/290,650
  6. Step 6: Final answer
    x = 1,353,293.25

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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.