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Finding the Third Proportional to 427,232 and 1,008,525

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Solution

The third proportional to 427,232 and 1,008,525 is: 2,380,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,232 : 1,008,525 = 1,008,525 : x
  2. Step 2: Convert to fraction form
    427,232/1,008,525 = 1,008,525/x
  3. Step 3: Cross multiply
    427,232x = 1,008,525 × 1,008,525
  4. Step 4: Simplify right side
    427,232x = 1,017,122,675,625
  5. Step 5: Solve for x
    x = 1,017,122,675,625/427,232
  6. Step 6: Final answer
    x = 2,380,726.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.