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Finding the Third Proportional to 347,916.94 and 741,396.38

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Solution

The third proportional to 347,916.94 and 741,396.38 is: 1,579,884.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,916.94 : 741,396.38 = 741,396.38 : x
  2. Step 2: Convert to fraction form
    347,916.94/741,396.38 = 741,396.38/x
  3. Step 3: Cross multiply
    347,916.94x = 741,396.38 × 741,396.38
  4. Step 4: Simplify right side
    347,916.94x = 549,668,584,863.14
  5. Step 5: Solve for x
    x = 549,668,584,863.14/347,916.94
  6. Step 6: Final answer
    x = 1,579,884.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.