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Finding the Third Proportional to 359,919 and 787,635

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Solution

The third proportional to 359,919 and 787,635 is: 1,723,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,919 : 787,635 = 787,635 : x
  2. Step 2: Convert to fraction form
    359,919/787,635 = 787,635/x
  3. Step 3: Cross multiply
    359,919x = 787,635 × 787,635
  4. Step 4: Simplify right side
    359,919x = 620,368,893,225
  5. Step 5: Solve for x
    x = 620,368,893,225/359,919
  6. Step 6: Final answer
    x = 1,723,634.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.