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Finding the Third Proportional to 271,482 and 585,034

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Solution

The third proportional to 271,482 and 585,034 is: 1,260,727.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,482 : 585,034 = 585,034 : x
  2. Step 2: Convert to fraction form
    271,482/585,034 = 585,034/x
  3. Step 3: Cross multiply
    271,482x = 585,034 × 585,034
  4. Step 4: Simplify right side
    271,482x = 342,264,781,156
  5. Step 5: Solve for x
    x = 342,264,781,156/271,482
  6. Step 6: Final answer
    x = 1,260,727.35

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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.