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Finding the Third Proportional to 385,297 and 836,251

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Solution

The third proportional to 385,297 and 836,251 is: 1,815,004.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,297 : 836,251 = 836,251 : x
  2. Step 2: Convert to fraction form
    385,297/836,251 = 836,251/x
  3. Step 3: Cross multiply
    385,297x = 836,251 × 836,251
  4. Step 4: Simplify right side
    385,297x = 699,315,735,001
  5. Step 5: Solve for x
    x = 699,315,735,001/385,297
  6. Step 6: Final answer
    x = 1,815,004.36

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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.