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Finding the Third Proportional to 366,944 and 767,178

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Solution

The third proportional to 366,944 and 767,178 is: 1,603,956.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,944 : 767,178 = 767,178 : x
  2. Step 2: Convert to fraction form
    366,944/767,178 = 767,178/x
  3. Step 3: Cross multiply
    366,944x = 767,178 × 767,178
  4. Step 4: Simplify right side
    366,944x = 588,562,083,684
  5. Step 5: Solve for x
    x = 588,562,083,684/366,944
  6. Step 6: Final answer
    x = 1,603,956.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.