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Finding the Third Proportional to 271,552 and 584,928

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Solution

The third proportional to 271,552 and 584,928 is: 1,259,945.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,552 : 584,928 = 584,928 : x
  2. Step 2: Convert to fraction form
    271,552/584,928 = 584,928/x
  3. Step 3: Cross multiply
    271,552x = 584,928 × 584,928
  4. Step 4: Simplify right side
    271,552x = 342,140,765,184
  5. Step 5: Solve for x
    x = 342,140,765,184/271,552
  6. Step 6: Final answer
    x = 1,259,945.66

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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.