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Finding the Third Proportional to 494,120 and 722,334

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Solution

The third proportional to 494,120 and 722,334 is: 1,055,950.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,120 : 722,334 = 722,334 : x
  2. Step 2: Convert to fraction form
    494,120/722,334 = 722,334/x
  3. Step 3: Cross multiply
    494,120x = 722,334 × 722,334
  4. Step 4: Simplify right side
    494,120x = 521,766,407,556
  5. Step 5: Solve for x
    x = 521,766,407,556/494,120
  6. Step 6: Final answer
    x = 1,055,950.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.