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Finding the Third Proportional to 380,955 and 836,673

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Solution

The third proportional to 380,955 and 836,673 is: 1,837,544.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,955 : 836,673 = 836,673 : x
  2. Step 2: Convert to fraction form
    380,955/836,673 = 836,673/x
  3. Step 3: Cross multiply
    380,955x = 836,673 × 836,673
  4. Step 4: Simplify right side
    380,955x = 700,021,708,929
  5. Step 5: Solve for x
    x = 700,021,708,929/380,955
  6. Step 6: Final answer
    x = 1,837,544.35

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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.