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Finding the Third Proportional to 466,824 and 741,064

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Solution

The third proportional to 466,824 and 741,064 is: 1,176,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,824 : 741,064 = 741,064 : x
  2. Step 2: Convert to fraction form
    466,824/741,064 = 741,064/x
  3. Step 3: Cross multiply
    466,824x = 741,064 × 741,064
  4. Step 4: Simplify right side
    466,824x = 549,175,852,096
  5. Step 5: Solve for x
    x = 549,175,852,096/466,824
  6. Step 6: Final answer
    x = 1,176,408.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.