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Finding the Third Proportional to 365,634 and 798,336

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Solution

The third proportional to 365,634 and 798,336 is: 1,743,110.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,634 : 798,336 = 798,336 : x
  2. Step 2: Convert to fraction form
    365,634/798,336 = 798,336/x
  3. Step 3: Cross multiply
    365,634x = 798,336 × 798,336
  4. Step 4: Simplify right side
    365,634x = 637,340,368,896
  5. Step 5: Solve for x
    x = 637,340,368,896/365,634
  6. Step 6: Final answer
    x = 1,743,110.24

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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.