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Finding the Third Proportional to 365,804 and 798,640

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Solution

The third proportional to 365,804 and 798,640 is: 1,743,627.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,804 : 798,640 = 798,640 : x
  2. Step 2: Convert to fraction form
    365,804/798,640 = 798,640/x
  3. Step 3: Cross multiply
    365,804x = 798,640 × 798,640
  4. Step 4: Simplify right side
    365,804x = 637,825,849,600
  5. Step 5: Solve for x
    x = 637,825,849,600/365,804
  6. Step 6: Final answer
    x = 1,743,627.32

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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.