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Finding the Third Proportional to 291,505.50 and 627,723

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Solution

The third proportional to 291,505.50 and 627,723 is: 1,351,728.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,505.50 : 627,723 = 627,723 : x
  2. Step 2: Convert to fraction form
    291,505.50/627,723 = 627,723/x
  3. Step 3: Cross multiply
    291,505.50x = 627,723 × 627,723
  4. Step 4: Simplify right side
    291,505.50x = 394,036,164,729
  5. Step 5: Solve for x
    x = 394,036,164,729/291,505.50
  6. Step 6: Final answer
    x = 1,351,728.06

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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.