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Finding the Third Proportional to 369,620 and 806,064

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Solution

The third proportional to 369,620 and 806,064 is: 1,757,857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,620 : 806,064 = 806,064 : x
  2. Step 2: Convert to fraction form
    369,620/806,064 = 806,064/x
  3. Step 3: Cross multiply
    369,620x = 806,064 × 806,064
  4. Step 4: Simplify right side
    369,620x = 649,739,172,096
  5. Step 5: Solve for x
    x = 649,739,172,096/369,620
  6. Step 6: Final answer
    x = 1,757,857.18

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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.