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Finding the Third Proportional to 370,176 and 792,912

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Solution

The third proportional to 370,176 and 792,912 is: 1,698,406.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,176 : 792,912 = 792,912 : x
  2. Step 2: Convert to fraction form
    370,176/792,912 = 792,912/x
  3. Step 3: Cross multiply
    370,176x = 792,912 × 792,912
  4. Step 4: Simplify right side
    370,176x = 628,709,439,744
  5. Step 5: Solve for x
    x = 628,709,439,744/370,176
  6. Step 6: Final answer
    x = 1,698,406.81

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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.