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Finding the Third Proportional to 492,186 and 771,083

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Solution

The third proportional to 492,186 and 771,083 is: 1,208,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,186 : 771,083 = 771,083 : x
  2. Step 2: Convert to fraction form
    492,186/771,083 = 771,083/x
  3. Step 3: Cross multiply
    492,186x = 771,083 × 771,083
  4. Step 4: Simplify right side
    492,186x = 594,568,992,889
  5. Step 5: Solve for x
    x = 594,568,992,889/492,186
  6. Step 6: Final answer
    x = 1,208,016.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.