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Finding the Third Proportional to 353,666 and 768,892

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Solution

The third proportional to 353,666 and 768,892 is: 1,671,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,666 : 768,892 = 768,892 : x
  2. Step 2: Convert to fraction form
    353,666/768,892 = 768,892/x
  3. Step 3: Cross multiply
    353,666x = 768,892 × 768,892
  4. Step 4: Simplify right side
    353,666x = 591,194,907,664
  5. Step 5: Solve for x
    x = 591,194,907,664/353,666
  6. Step 6: Final answer
    x = 1,671,619.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.