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Finding the Third Proportional to 380,148 and 823,035

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Solution

The third proportional to 380,148 and 823,035 is: 1,781,902.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,148 : 823,035 = 823,035 : x
  2. Step 2: Convert to fraction form
    380,148/823,035 = 823,035/x
  3. Step 3: Cross multiply
    380,148x = 823,035 × 823,035
  4. Step 4: Simplify right side
    380,148x = 677,386,611,225
  5. Step 5: Solve for x
    x = 677,386,611,225/380,148
  6. Step 6: Final answer
    x = 1,781,902.34

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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.