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Finding the Third Proportional to 291,974.63 and 627,594.75

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Solution

The third proportional to 291,974.63 and 627,594.75 is: 1,349,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,974.63 : 627,594.75 = 627,594.75 : x
  2. Step 2: Convert to fraction form
    291,974.63/627,594.75 = 627,594.75/x
  3. Step 3: Cross multiply
    291,974.63x = 627,594.75 × 627,594.75
  4. Step 4: Simplify right side
    291,974.63x = 393,875,170,227.56
  5. Step 5: Solve for x
    x = 393,875,170,227.56/291,974.63
  6. Step 6: Final answer
    x = 1,349,004.80

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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.