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Finding the Third Proportional to 359,787 and 792,018

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Solution

The third proportional to 359,787 and 792,018 is: 1,743,510.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,787 : 792,018 = 792,018 : x
  2. Step 2: Convert to fraction form
    359,787/792,018 = 792,018/x
  3. Step 3: Cross multiply
    359,787x = 792,018 × 792,018
  4. Step 4: Simplify right side
    359,787x = 627,292,512,324
  5. Step 5: Solve for x
    x = 627,292,512,324/359,787
  6. Step 6: Final answer
    x = 1,743,510.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.