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Finding the Third Proportional to 271,730 and 595,894

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Solution

The third proportional to 271,730 and 595,894 is: 1,306,773.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,730 : 595,894 = 595,894 : x
  2. Step 2: Convert to fraction form
    271,730/595,894 = 595,894/x
  3. Step 3: Cross multiply
    271,730x = 595,894 × 595,894
  4. Step 4: Simplify right side
    271,730x = 355,089,659,236
  5. Step 5: Solve for x
    x = 355,089,659,236/271,730
  6. Step 6: Final answer
    x = 1,306,773.85

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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.