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Finding the Third Proportional to 366,164 and 771,697

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Solution

The third proportional to 366,164 and 771,697 is: 1,626,364.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,164 : 771,697 = 771,697 : x
  2. Step 2: Convert to fraction form
    366,164/771,697 = 771,697/x
  3. Step 3: Cross multiply
    366,164x = 771,697 × 771,697
  4. Step 4: Simplify right side
    366,164x = 595,516,259,809
  5. Step 5: Solve for x
    x = 595,516,259,809/366,164
  6. Step 6: Final answer
    x = 1,626,364.85

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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.