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Finding the Third Proportional to 365,812 and 798,656

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Solution

The third proportional to 365,812 and 798,656 is: 1,743,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,812 : 798,656 = 798,656 : x
  2. Step 2: Convert to fraction form
    365,812/798,656 = 798,656/x
  3. Step 3: Cross multiply
    365,812x = 798,656 × 798,656
  4. Step 4: Simplify right side
    365,812x = 637,851,406,336
  5. Step 5: Solve for x
    x = 637,851,406,336/365,812
  6. Step 6: Final answer
    x = 1,743,659.06

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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.