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Finding the Third Proportional to 365,830 and 798,692

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Solution

The third proportional to 365,830 and 798,692 is: 1,743,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,830 : 798,692 = 798,692 : x
  2. Step 2: Convert to fraction form
    365,830/798,692 = 798,692/x
  3. Step 3: Cross multiply
    365,830x = 798,692 × 798,692
  4. Step 4: Simplify right side
    365,830x = 637,908,910,864
  5. Step 5: Solve for x
    x = 637,908,910,864/365,830
  6. Step 6: Final answer
    x = 1,743,730.45

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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.