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Finding the Third Proportional to 271,706 and 595,900

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Solution

The third proportional to 271,706 and 595,900 is: 1,306,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,706 : 595,900 = 595,900 : x
  2. Step 2: Convert to fraction form
    271,706/595,900 = 595,900/x
  3. Step 3: Cross multiply
    271,706x = 595,900 × 595,900
  4. Step 4: Simplify right side
    271,706x = 355,096,810,000
  5. Step 5: Solve for x
    x = 355,096,810,000/271,706
  6. Step 6: Final answer
    x = 1,306,915.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.