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Finding the Third Proportional to 363,698 and 790,345

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Solution

The third proportional to 363,698 and 790,345 is: 1,717,483.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,698 : 790,345 = 790,345 : x
  2. Step 2: Convert to fraction form
    363,698/790,345 = 790,345/x
  3. Step 3: Cross multiply
    363,698x = 790,345 × 790,345
  4. Step 4: Simplify right side
    363,698x = 624,645,219,025
  5. Step 5: Solve for x
    x = 624,645,219,025/363,698
  6. Step 6: Final answer
    x = 1,717,483.24

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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.