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Finding the Third Proportional to 359,860 and 769,546

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Solution

The third proportional to 359,860 and 769,546 is: 1,645,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,860 : 769,546 = 769,546 : x
  2. Step 2: Convert to fraction form
    359,860/769,546 = 769,546/x
  3. Step 3: Cross multiply
    359,860x = 769,546 × 769,546
  4. Step 4: Simplify right side
    359,860x = 592,201,046,116
  5. Step 5: Solve for x
    x = 592,201,046,116/359,860
  6. Step 6: Final answer
    x = 1,645,642.88

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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.