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Finding the Third Proportional to 271,602 and 584,816

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Solution

The third proportional to 271,602 and 584,816 is: 1,259,231.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,602 : 584,816 = 584,816 : x
  2. Step 2: Convert to fraction form
    271,602/584,816 = 584,816/x
  3. Step 3: Cross multiply
    271,602x = 584,816 × 584,816
  4. Step 4: Simplify right side
    271,602x = 342,009,753,856
  5. Step 5: Solve for x
    x = 342,009,753,856/271,602
  6. Step 6: Final answer
    x = 1,259,231.35

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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.