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Finding the Third Proportional to 271,918.27 and 592,223.91

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Solution

The third proportional to 271,918.27 and 592,223.91 is: 1,289,833.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,918.27 : 592,223.91 = 592,223.91 : x
  2. Step 2: Convert to fraction form
    271,918.27/592,223.91 = 592,223.91/x
  3. Step 3: Cross multiply
    271,918.27x = 592,223.91 × 592,223.91
  4. Step 4: Simplify right side
    271,918.27x = 350,729,155,134.01
  5. Step 5: Solve for x
    x = 350,729,155,134.01/271,918.27
  6. Step 6: Final answer
    x = 1,289,833.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.