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Finding the Third Proportional to 363,445 and 848,942

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Solution

The third proportional to 363,445 and 848,942 is: 1,982,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,445 : 848,942 = 848,942 : x
  2. Step 2: Convert to fraction form
    363,445/848,942 = 848,942/x
  3. Step 3: Cross multiply
    363,445x = 848,942 × 848,942
  4. Step 4: Simplify right side
    363,445x = 720,702,519,364
  5. Step 5: Solve for x
    x = 720,702,519,364/363,445
  6. Step 6: Final answer
    x = 1,982,975.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.