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Finding the Third Proportional to 296,232 and 627,774

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Solution

The third proportional to 296,232 and 627,774 is: 1,330,376.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,232 : 627,774 = 627,774 : x
  2. Step 2: Convert to fraction form
    296,232/627,774 = 627,774/x
  3. Step 3: Cross multiply
    296,232x = 627,774 × 627,774
  4. Step 4: Simplify right side
    296,232x = 394,100,195,076
  5. Step 5: Solve for x
    x = 394,100,195,076/296,232
  6. Step 6: Final answer
    x = 1,330,376.85

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Why These Related Problems?

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