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Finding the Third Proportional to 359,884 and 769,583

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Solution

The third proportional to 359,884 and 769,583 is: 1,645,691.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,884 : 769,583 = 769,583 : x
  2. Step 2: Convert to fraction form
    359,884/769,583 = 769,583/x
  3. Step 3: Cross multiply
    359,884x = 769,583 × 769,583
  4. Step 4: Simplify right side
    359,884x = 592,257,993,889
  5. Step 5: Solve for x
    x = 592,257,993,889/359,884
  6. Step 6: Final answer
    x = 1,645,691.37

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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.