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Finding the Third Proportional to 365,968 and 782,672

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Solution

The third proportional to 365,968 and 782,672 is: 1,673,849.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,968 : 782,672 = 782,672 : x
  2. Step 2: Convert to fraction form
    365,968/782,672 = 782,672/x
  3. Step 3: Cross multiply
    365,968x = 782,672 × 782,672
  4. Step 4: Simplify right side
    365,968x = 612,575,459,584
  5. Step 5: Solve for x
    x = 612,575,459,584/365,968
  6. Step 6: Final answer
    x = 1,673,849.79

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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.