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Finding the Third Proportional to 370,002 and 792,494

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Solution

The third proportional to 370,002 and 792,494 is: 1,697,414.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,002 : 792,494 = 792,494 : x
  2. Step 2: Convert to fraction form
    370,002/792,494 = 792,494/x
  3. Step 3: Cross multiply
    370,002x = 792,494 × 792,494
  4. Step 4: Simplify right side
    370,002x = 628,046,740,036
  5. Step 5: Solve for x
    x = 628,046,740,036/370,002
  6. Step 6: Final answer
    x = 1,697,414.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.