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Finding the Third Proportional to 365,828 and 798,688

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Solution

The third proportional to 365,828 and 798,688 is: 1,743,722.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,828 : 798,688 = 798,688 : x
  2. Step 2: Convert to fraction form
    365,828/798,688 = 798,688/x
  3. Step 3: Cross multiply
    365,828x = 798,688 × 798,688
  4. Step 4: Simplify right side
    365,828x = 637,902,521,344
  5. Step 5: Solve for x
    x = 637,902,521,344/365,828
  6. Step 6: Final answer
    x = 1,743,722.52

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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.