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Finding the Third Proportional to 291,941 and 627,531

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Solution

The third proportional to 291,941 and 627,531 is: 1,348,886.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,941 : 627,531 = 627,531 : x
  2. Step 2: Convert to fraction form
    291,941/627,531 = 627,531/x
  3. Step 3: Cross multiply
    291,941x = 627,531 × 627,531
  4. Step 4: Simplify right side
    291,941x = 393,795,155,961
  5. Step 5: Solve for x
    x = 393,795,155,961/291,941
  6. Step 6: Final answer
    x = 1,348,886.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.