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Finding the Third Proportional to 296,265 and 627,826

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Solution

The third proportional to 296,265 and 627,826 is: 1,330,449.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,265 : 627,826 = 627,826 : x
  2. Step 2: Convert to fraction form
    296,265/627,826 = 627,826/x
  3. Step 3: Cross multiply
    296,265x = 627,826 × 627,826
  4. Step 4: Simplify right side
    296,265x = 394,165,486,276
  5. Step 5: Solve for x
    x = 394,165,486,276/296,265
  6. Step 6: Final answer
    x = 1,330,449.04

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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.