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Finding the Third Proportional to 366,941 and 808,377

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Solution

The third proportional to 366,941 and 808,377 is: 1,780,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,941 : 808,377 = 808,377 : x
  2. Step 2: Convert to fraction form
    366,941/808,377 = 808,377/x
  3. Step 3: Cross multiply
    366,941x = 808,377 × 808,377
  4. Step 4: Simplify right side
    366,941x = 653,473,374,129
  5. Step 5: Solve for x
    x = 653,473,374,129/366,941
  6. Step 6: Final answer
    x = 1,780,867.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.