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Finding the Third Proportional to 271,001 and 402,573

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Solution

The third proportional to 271,001 and 402,573 is: 598,023.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,001 : 402,573 = 402,573 : x
  2. Step 2: Convert to fraction form
    271,001/402,573 = 402,573/x
  3. Step 3: Cross multiply
    271,001x = 402,573 × 402,573
  4. Step 4: Simplify right side
    271,001x = 162,065,020,329
  5. Step 5: Solve for x
    x = 162,065,020,329/271,001
  6. Step 6: Final answer
    x = 598,023.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.