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Finding the Third Proportional to 359,912 and 772,191

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Solution

The third proportional to 359,912 and 772,191 is: 1,656,735.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,912 : 772,191 = 772,191 : x
  2. Step 2: Convert to fraction form
    359,912/772,191 = 772,191/x
  3. Step 3: Cross multiply
    359,912x = 772,191 × 772,191
  4. Step 4: Simplify right side
    359,912x = 596,278,940,481
  5. Step 5: Solve for x
    x = 596,278,940,481/359,912
  6. Step 6: Final answer
    x = 1,656,735.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.