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Finding the Third Proportional to 359,474 and 782,368

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Solution

The third proportional to 359,474 and 782,368 is: 1,702,764.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,474 : 782,368 = 782,368 : x
  2. Step 2: Convert to fraction form
    359,474/782,368 = 782,368/x
  3. Step 3: Cross multiply
    359,474x = 782,368 × 782,368
  4. Step 4: Simplify right side
    359,474x = 612,099,687,424
  5. Step 5: Solve for x
    x = 612,099,687,424/359,474
  6. Step 6: Final answer
    x = 1,702,764.84

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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.