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Finding the Third Proportional to 366,158 and 771,682

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Solution

The third proportional to 366,158 and 771,682 is: 1,626,328.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,158 : 771,682 = 771,682 : x
  2. Step 2: Convert to fraction form
    366,158/771,682 = 771,682/x
  3. Step 3: Cross multiply
    366,158x = 771,682 × 771,682
  4. Step 4: Simplify right side
    366,158x = 595,493,109,124
  5. Step 5: Solve for x
    x = 595,493,109,124/366,158
  6. Step 6: Final answer
    x = 1,626,328.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.