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Finding the Third Proportional to 354,902 and 768,856

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Solution

The third proportional to 354,902 and 768,856 is: 1,665,641.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,902 : 768,856 = 768,856 : x
  2. Step 2: Convert to fraction form
    354,902/768,856 = 768,856/x
  3. Step 3: Cross multiply
    354,902x = 768,856 × 768,856
  4. Step 4: Simplify right side
    354,902x = 591,139,548,736
  5. Step 5: Solve for x
    x = 591,139,548,736/354,902
  6. Step 6: Final answer
    x = 1,665,641.64

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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.