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Finding the Third Proportional to 292,074.75 and 627,777

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Solution

The third proportional to 292,074.75 and 627,777 is: 1,349,325.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,074.75 : 627,777 = 627,777 : x
  2. Step 2: Convert to fraction form
    292,074.75/627,777 = 627,777/x
  3. Step 3: Cross multiply
    292,074.75x = 627,777 × 627,777
  4. Step 4: Simplify right side
    292,074.75x = 394,103,961,729
  5. Step 5: Solve for x
    x = 394,103,961,729/292,074.75
  6. Step 6: Final answer
    x = 1,349,325.68

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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.