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Finding the Third Proportional to 291,427.50 and 627,141.75

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Solution

The third proportional to 291,427.50 and 627,141.75 is: 1,349,587.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,427.50 : 627,141.75 = 627,141.75 : x
  2. Step 2: Convert to fraction form
    291,427.50/627,141.75 = 627,141.75/x
  3. Step 3: Cross multiply
    291,427.50x = 627,141.75 × 627,141.75
  4. Step 4: Simplify right side
    291,427.50x = 393,306,774,593.06
  5. Step 5: Solve for x
    x = 393,306,774,593.06/291,427.50
  6. Step 6: Final answer
    x = 1,349,587.03

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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.