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Finding the Third Proportional to 353,941 and 766,931

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Solution

The third proportional to 353,941 and 766,931 is: 1,661,811.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,941 : 766,931 = 766,931 : x
  2. Step 2: Convert to fraction form
    353,941/766,931 = 766,931/x
  3. Step 3: Cross multiply
    353,941x = 766,931 × 766,931
  4. Step 4: Simplify right side
    353,941x = 588,183,158,761
  5. Step 5: Solve for x
    x = 588,183,158,761/353,941
  6. Step 6: Final answer
    x = 1,661,811.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.