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Finding the Third Proportional to 271,478.25 and 596,265.75

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Solution

The third proportional to 271,478.25 and 596,265.75 is: 1,309,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,478.25 : 596,265.75 = 596,265.75 : x
  2. Step 2: Convert to fraction form
    271,478.25/596,265.75 = 596,265.75/x
  3. Step 3: Cross multiply
    271,478.25x = 596,265.75 × 596,265.75
  4. Step 4: Simplify right side
    271,478.25x = 355,532,844,623.06
  5. Step 5: Solve for x
    x = 355,532,844,623.06/271,478.25
  6. Step 6: Final answer
    x = 1,309,618.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.