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Finding the Third Proportional to 359,859 and 769,544

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Solution

The third proportional to 359,859 and 769,544 is: 1,645,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,859 : 769,544 = 769,544 : x
  2. Step 2: Convert to fraction form
    359,859/769,544 = 769,544/x
  3. Step 3: Cross multiply
    359,859x = 769,544 × 769,544
  4. Step 4: Simplify right side
    359,859x = 592,197,967,936
  5. Step 5: Solve for x
    x = 592,197,967,936/359,859
  6. Step 6: Final answer
    x = 1,645,638.90

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.