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Finding the Third Proportional to 354,941 and 769,771

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Solution

The third proportional to 354,941 and 769,771 is: 1,669,425.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,941 : 769,771 = 769,771 : x
  2. Step 2: Convert to fraction form
    354,941/769,771 = 769,771/x
  3. Step 3: Cross multiply
    354,941x = 769,771 × 769,771
  4. Step 4: Simplify right side
    354,941x = 592,547,392,441
  5. Step 5: Solve for x
    x = 592,547,392,441/354,941
  6. Step 6: Final answer
    x = 1,669,425.04

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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.