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Finding the Third Proportional to 605,232 and 879,336

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Solution

The third proportional to 605,232 and 879,336 is: 1,277,579.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,232 : 879,336 = 879,336 : x
  2. Step 2: Convert to fraction form
    605,232/879,336 = 879,336/x
  3. Step 3: Cross multiply
    605,232x = 879,336 × 879,336
  4. Step 4: Simplify right side
    605,232x = 773,231,800,896
  5. Step 5: Solve for x
    x = 773,231,800,896/605,232
  6. Step 6: Final answer
    x = 1,277,579.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.