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Finding the Third Proportional to 375,968 and 818,194

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Solution

The third proportional to 375,968 and 818,194 is: 1,780,580.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,968 : 818,194 = 818,194 : x
  2. Step 2: Convert to fraction form
    375,968/818,194 = 818,194/x
  3. Step 3: Cross multiply
    375,968x = 818,194 × 818,194
  4. Step 4: Simplify right side
    375,968x = 669,441,421,636
  5. Step 5: Solve for x
    x = 669,441,421,636/375,968
  6. Step 6: Final answer
    x = 1,780,580.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.