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Finding the Third Proportional to 291,967.88 and 627,581.25

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Solution

The third proportional to 291,967.88 and 627,581.25 is: 1,348,977.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,967.88 : 627,581.25 = 627,581.25 : x
  2. Step 2: Convert to fraction form
    291,967.88/627,581.25 = 627,581.25/x
  3. Step 3: Cross multiply
    291,967.88x = 627,581.25 × 627,581.25
  4. Step 4: Simplify right side
    291,967.88x = 393,858,225,351.56
  5. Step 5: Solve for x
    x = 393,858,225,351.56/291,967.88
  6. Step 6: Final answer
    x = 1,348,977.95

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