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Finding the Third Proportional to 370,064 and 792,670

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Solution

The third proportional to 370,064 and 792,670 is: 1,697,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,064 : 792,670 = 792,670 : x
  2. Step 2: Convert to fraction form
    370,064/792,670 = 792,670/x
  3. Step 3: Cross multiply
    370,064x = 792,670 × 792,670
  4. Step 4: Simplify right side
    370,064x = 628,325,728,900
  5. Step 5: Solve for x
    x = 628,325,728,900/370,064
  6. Step 6: Final answer
    x = 1,697,883.96

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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.