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Finding the Third Proportional to 343,815.38 and 746,793.75

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Solution

The third proportional to 343,815.38 and 746,793.75 is: 1,622,094.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,815.38 : 746,793.75 = 746,793.75 : x
  2. Step 2: Convert to fraction form
    343,815.38/746,793.75 = 746,793.75/x
  3. Step 3: Cross multiply
    343,815.38x = 746,793.75 × 746,793.75
  4. Step 4: Simplify right side
    343,815.38x = 557,700,905,039.06
  5. Step 5: Solve for x
    x = 557,700,905,039.06/343,815.38
  6. Step 6: Final answer
    x = 1,622,094.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.