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Finding the Third Proportional to 359,902 and 787,600

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Solution

The third proportional to 359,902 and 787,600 is: 1,723,562.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,902 : 787,600 = 787,600 : x
  2. Step 2: Convert to fraction form
    359,902/787,600 = 787,600/x
  3. Step 3: Cross multiply
    359,902x = 787,600 × 787,600
  4. Step 4: Simplify right side
    359,902x = 620,313,760,000
  5. Step 5: Solve for x
    x = 620,313,760,000/359,902
  6. Step 6: Final answer
    x = 1,723,562.97

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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.