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Finding the Third Proportional to 271,650.38 and 593,784

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Solution

The third proportional to 271,650.38 and 593,784 is: 1,297,916.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,650.38 : 593,784 = 593,784 : x
  2. Step 2: Convert to fraction form
    271,650.38/593,784 = 593,784/x
  3. Step 3: Cross multiply
    271,650.38x = 593,784 × 593,784
  4. Step 4: Simplify right side
    271,650.38x = 352,579,438,656
  5. Step 5: Solve for x
    x = 352,579,438,656/271,650.38
  6. Step 6: Final answer
    x = 1,297,916.26

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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.