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Finding the Third Proportional to 354,944 and 769,775

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Solution

The third proportional to 354,944 and 769,775 is: 1,669,428.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,944 : 769,775 = 769,775 : x
  2. Step 2: Convert to fraction form
    354,944/769,775 = 769,775/x
  3. Step 3: Cross multiply
    354,944x = 769,775 × 769,775
  4. Step 4: Simplify right side
    354,944x = 592,553,550,625
  5. Step 5: Solve for x
    x = 592,553,550,625/354,944
  6. Step 6: Final answer
    x = 1,669,428.28

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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.