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Finding the Third Proportional to 369,483 and 795,942

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Solution

The third proportional to 369,483 and 795,942 is: 1,714,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,483 : 795,942 = 795,942 : x
  2. Step 2: Convert to fraction form
    369,483/795,942 = 795,942/x
  3. Step 3: Cross multiply
    369,483x = 795,942 × 795,942
  4. Step 4: Simplify right side
    369,483x = 633,523,667,364
  5. Step 5: Solve for x
    x = 633,523,667,364/369,483
  6. Step 6: Final answer
    x = 1,714,621.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.