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Finding the Third Proportional to 363,182 and 787,598

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Solution

The third proportional to 363,182 and 787,598 is: 1,707,988.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,182 : 787,598 = 787,598 : x
  2. Step 2: Convert to fraction form
    363,182/787,598 = 787,598/x
  3. Step 3: Cross multiply
    363,182x = 787,598 × 787,598
  4. Step 4: Simplify right side
    363,182x = 620,310,609,604
  5. Step 5: Solve for x
    x = 620,310,609,604/363,182
  6. Step 6: Final answer
    x = 1,707,988.31

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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.