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Finding the Third Proportional to 350,514 and 765,892

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Solution

The third proportional to 350,514 and 765,892 is: 1,673,515.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,514 : 765,892 = 765,892 : x
  2. Step 2: Convert to fraction form
    350,514/765,892 = 765,892/x
  3. Step 3: Cross multiply
    350,514x = 765,892 × 765,892
  4. Step 4: Simplify right side
    350,514x = 586,590,555,664
  5. Step 5: Solve for x
    x = 586,590,555,664/350,514
  6. Step 6: Final answer
    x = 1,673,515.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.