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Finding the Third Proportional to 271,495.13 and 596,521.13

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Solution

The third proportional to 271,495.13 and 596,521.13 is: 1,310,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,495.13 : 596,521.13 = 596,521.13 : x
  2. Step 2: Convert to fraction form
    271,495.13/596,521.13 = 596,521.13/x
  3. Step 3: Cross multiply
    271,495.13x = 596,521.13 × 596,521.13
  4. Step 4: Simplify right side
    271,495.13x = 355,837,452,571.27
  5. Step 5: Solve for x
    x = 355,837,452,571.27/271,495.13
  6. Step 6: Final answer
    x = 1,310,658.72

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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.