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Finding the Third Proportional to 271,482 and 584,583

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Solution

The third proportional to 271,482 and 584,583 is: 1,258,784.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,482 : 584,583 = 584,583 : x
  2. Step 2: Convert to fraction form
    271,482/584,583 = 584,583/x
  3. Step 3: Cross multiply
    271,482x = 584,583 × 584,583
  4. Step 4: Simplify right side
    271,482x = 341,737,283,889
  5. Step 5: Solve for x
    x = 341,737,283,889/271,482
  6. Step 6: Final answer
    x = 1,258,784.32

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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.