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Finding the Third Proportional to 271,632.47 and 585,297.94

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Solution

The third proportional to 271,632.47 and 585,297.94 is: 1,261,166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,632.47 : 585,297.94 = 585,297.94 : x
  2. Step 2: Convert to fraction form
    271,632.47/585,297.94 = 585,297.94/x
  3. Step 3: Cross multiply
    271,632.47x = 585,297.94 × 585,297.94
  4. Step 4: Simplify right side
    271,632.47x = 342,573,675,641.75
  5. Step 5: Solve for x
    x = 342,573,675,641.75/271,632.47
  6. Step 6: Final answer
    x = 1,261,166.15

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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.