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Finding the Third Proportional to 271,490 and 584,600

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Solution

The third proportional to 271,490 and 584,600 is: 1,258,820.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,490 : 584,600 = 584,600 : x
  2. Step 2: Convert to fraction form
    271,490/584,600 = 584,600/x
  3. Step 3: Cross multiply
    271,490x = 584,600 × 584,600
  4. Step 4: Simplify right side
    271,490x = 341,757,160,000
  5. Step 5: Solve for x
    x = 341,757,160,000/271,490
  6. Step 6: Final answer
    x = 1,258,820.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.