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Finding the Third Proportional to 359,944 and 787,686

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Solution

The third proportional to 359,944 and 787,686 is: 1,723,738.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,944 : 787,686 = 787,686 : x
  2. Step 2: Convert to fraction form
    359,944/787,686 = 787,686/x
  3. Step 3: Cross multiply
    359,944x = 787,686 × 787,686
  4. Step 4: Simplify right side
    359,944x = 620,449,234,596
  5. Step 5: Solve for x
    x = 620,449,234,596/359,944
  6. Step 6: Final answer
    x = 1,723,738.23

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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.