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Finding the Third Proportional to 365,527 and 815,100

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Solution

The third proportional to 365,527 and 815,100 is: 1,817,616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,527 : 815,100 = 815,100 : x
  2. Step 2: Convert to fraction form
    365,527/815,100 = 815,100/x
  3. Step 3: Cross multiply
    365,527x = 815,100 × 815,100
  4. Step 4: Simplify right side
    365,527x = 664,388,010,000
  5. Step 5: Solve for x
    x = 664,388,010,000/365,527
  6. Step 6: Final answer
    x = 1,817,616.78

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.