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Finding the Third Proportional to 271,345 and 550,078

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Solution

The third proportional to 271,345 and 550,078 is: 1,115,133.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,345 : 550,078 = 550,078 : x
  2. Step 2: Convert to fraction form
    271,345/550,078 = 550,078/x
  3. Step 3: Cross multiply
    271,345x = 550,078 × 550,078
  4. Step 4: Simplify right side
    271,345x = 302,585,806,084
  5. Step 5: Solve for x
    x = 302,585,806,084/271,345
  6. Step 6: Final answer
    x = 1,115,133.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.