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Finding the Third Proportional to 363,700 and 790,350

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Solution

The third proportional to 363,700 and 790,350 is: 1,717,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,700 : 790,350 = 790,350 : x
  2. Step 2: Convert to fraction form
    363,700/790,350 = 790,350/x
  3. Step 3: Cross multiply
    363,700x = 790,350 × 790,350
  4. Step 4: Simplify right side
    363,700x = 624,653,122,500
  5. Step 5: Solve for x
    x = 624,653,122,500/363,700
  6. Step 6: Final answer
    x = 1,717,495.53

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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.