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Finding the Third Proportional to 271,155.94 and 517,708.13

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Solution

The third proportional to 271,155.94 and 517,708.13 is: 988,441.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,155.94 : 517,708.13 = 517,708.13 : x
  2. Step 2: Convert to fraction form
    271,155.94/517,708.13 = 517,708.13/x
  3. Step 3: Cross multiply
    271,155.94x = 517,708.13 × 517,708.13
  4. Step 4: Simplify right side
    271,155.94x = 268,021,702,691.02
  5. Step 5: Solve for x
    x = 268,021,702,691.02/271,155.94
  6. Step 6: Final answer
    x = 988,441.21

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.