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Finding the Third Proportional to 365,166 and 791,976

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Solution

The third proportional to 365,166 and 791,976 is: 1,717,646.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,166 : 791,976 = 791,976 : x
  2. Step 2: Convert to fraction form
    365,166/791,976 = 791,976/x
  3. Step 3: Cross multiply
    365,166x = 791,976 × 791,976
  4. Step 4: Simplify right side
    365,166x = 627,225,984,576
  5. Step 5: Solve for x
    x = 627,225,984,576/365,166
  6. Step 6: Final answer
    x = 1,717,646.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.