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Finding the Third Proportional to 271,740 and 595,914

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Solution

The third proportional to 271,740 and 595,914 is: 1,306,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,740 : 595,914 = 595,914 : x
  2. Step 2: Convert to fraction form
    271,740/595,914 = 595,914/x
  3. Step 3: Cross multiply
    271,740x = 595,914 × 595,914
  4. Step 4: Simplify right side
    271,740x = 355,113,495,396
  5. Step 5: Solve for x
    x = 355,113,495,396/271,740
  6. Step 6: Final answer
    x = 1,306,813.48

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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.