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Finding the Third Proportional to 342,921.94 and 746,938.13

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Solution

The third proportional to 342,921.94 and 746,938.13 is: 1,626,949.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,921.94 : 746,938.13 = 746,938.13 : x
  2. Step 2: Convert to fraction form
    342,921.94/746,938.13 = 746,938.13/x
  3. Step 3: Cross multiply
    342,921.94x = 746,938.13 × 746,938.13
  4. Step 4: Simplify right side
    342,921.94x = 557,916,562,578.52
  5. Step 5: Solve for x
    x = 557,916,562,578.52/342,921.94
  6. Step 6: Final answer
    x = 1,626,949.17

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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.