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Finding the Third Proportional to 382,305 and 831,066

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Solution

The third proportional to 382,305 and 831,066 is: 1,806,596.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,305 : 831,066 = 831,066 : x
  2. Step 2: Convert to fraction form
    382,305/831,066 = 831,066/x
  3. Step 3: Cross multiply
    382,305x = 831,066 × 831,066
  4. Step 4: Simplify right side
    382,305x = 690,670,696,356
  5. Step 5: Solve for x
    x = 690,670,696,356/382,305
  6. Step 6: Final answer
    x = 1,806,596.03

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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.