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Finding the Third Proportional to 363,930 and 790,020

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Solution

The third proportional to 363,930 and 790,020 is: 1,714,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,930 : 790,020 = 790,020 : x
  2. Step 2: Convert to fraction form
    363,930/790,020 = 790,020/x
  3. Step 3: Cross multiply
    363,930x = 790,020 × 790,020
  4. Step 4: Simplify right side
    363,930x = 624,131,600,400
  5. Step 5: Solve for x
    x = 624,131,600,400/363,930
  6. Step 6: Final answer
    x = 1,714,977.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.