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Finding the Third Proportional to 370,224 and 792,944

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Solution

The third proportional to 370,224 and 792,944 is: 1,698,323.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,224 : 792,944 = 792,944 : x
  2. Step 2: Convert to fraction form
    370,224/792,944 = 792,944/x
  3. Step 3: Cross multiply
    370,224x = 792,944 × 792,944
  4. Step 4: Simplify right side
    370,224x = 628,760,187,136
  5. Step 5: Solve for x
    x = 628,760,187,136/370,224
  6. Step 6: Final answer
    x = 1,698,323.68

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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.