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Finding the Third Proportional to 271,458 and 584,989

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Solution

The third proportional to 271,458 and 584,989 is: 1,260,644.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,458 : 584,989 = 584,989 : x
  2. Step 2: Convert to fraction form
    271,458/584,989 = 584,989/x
  3. Step 3: Cross multiply
    271,458x = 584,989 × 584,989
  4. Step 4: Simplify right side
    271,458x = 342,212,130,121
  5. Step 5: Solve for x
    x = 342,212,130,121/271,458
  6. Step 6: Final answer
    x = 1,260,644.85

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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.