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Finding the Third Proportional to 627,133 and 925,936

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Solution

The third proportional to 627,133 and 925,936 is: 1,367,106.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,133 : 925,936 = 925,936 : x
  2. Step 2: Convert to fraction form
    627,133/925,936 = 925,936/x
  3. Step 3: Cross multiply
    627,133x = 925,936 × 925,936
  4. Step 4: Simplify right side
    627,133x = 857,357,476,096
  5. Step 5: Solve for x
    x = 857,357,476,096/627,133
  6. Step 6: Final answer
    x = 1,367,106.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.