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Finding the Third Proportional to 365,808 and 798,648

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Solution

The third proportional to 365,808 and 798,648 is: 1,743,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,808 : 798,648 = 798,648 : x
  2. Step 2: Convert to fraction form
    365,808/798,648 = 798,648/x
  3. Step 3: Cross multiply
    365,808x = 798,648 × 798,648
  4. Step 4: Simplify right side
    365,808x = 637,838,627,904
  5. Step 5: Solve for x
    x = 637,838,627,904/365,808
  6. Step 6: Final answer
    x = 1,743,643.19

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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.