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Finding the Third Proportional to 271,474 and 584,572

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Solution

The third proportional to 271,474 and 584,572 is: 1,258,774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,474 : 584,572 = 584,572 : x
  2. Step 2: Convert to fraction form
    271,474/584,572 = 584,572/x
  3. Step 3: Cross multiply
    271,474x = 584,572 × 584,572
  4. Step 4: Simplify right side
    271,474x = 341,724,423,184
  5. Step 5: Solve for x
    x = 341,724,423,184/271,474
  6. Step 6: Final answer
    x = 1,258,774.04

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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.