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Finding the Third Proportional to 385,133 and 831,164

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Solution

The third proportional to 385,133 and 831,164 is: 1,793,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,133 : 831,164 = 831,164 : x
  2. Step 2: Convert to fraction form
    385,133/831,164 = 831,164/x
  3. Step 3: Cross multiply
    385,133x = 831,164 × 831,164
  4. Step 4: Simplify right side
    385,133x = 690,833,594,896
  5. Step 5: Solve for x
    x = 690,833,594,896/385,133
  6. Step 6: Final answer
    x = 1,793,753.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.