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Finding the Third Proportional to 366,157 and 771,680

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Solution

The third proportional to 366,157 and 771,680 is: 1,626,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,157 : 771,680 = 771,680 : x
  2. Step 2: Convert to fraction form
    366,157/771,680 = 771,680/x
  3. Step 3: Cross multiply
    366,157x = 771,680 × 771,680
  4. Step 4: Simplify right side
    366,157x = 595,490,022,400
  5. Step 5: Solve for x
    x = 595,490,022,400/366,157
  6. Step 6: Final answer
    x = 1,626,324.29

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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.