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Finding the Third Proportional to 271,516 and 585,152

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Solution

The third proportional to 271,516 and 585,152 is: 1,261,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,516 : 585,152 = 585,152 : x
  2. Step 2: Convert to fraction form
    271,516/585,152 = 585,152/x
  3. Step 3: Cross multiply
    271,516x = 585,152 × 585,152
  4. Step 4: Simplify right side
    271,516x = 342,402,863,104
  5. Step 5: Solve for x
    x = 342,402,863,104/271,516
  6. Step 6: Final answer
    x = 1,261,078.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.