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Finding the Third Proportional to 271,483 and 584,585

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Solution

The third proportional to 271,483 and 584,585 is: 1,258,788.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,483 : 584,585 = 584,585 : x
  2. Step 2: Convert to fraction form
    271,483/584,585 = 584,585/x
  3. Step 3: Cross multiply
    271,483x = 584,585 × 584,585
  4. Step 4: Simplify right side
    271,483x = 341,739,622,225
  5. Step 5: Solve for x
    x = 341,739,622,225/271,483
  6. Step 6: Final answer
    x = 1,258,788.29

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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.