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Finding the Third Proportional to 274,556 and 409,425

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Solution

The third proportional to 274,556 and 409,425 is: 610,545.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,556 : 409,425 = 409,425 : x
  2. Step 2: Convert to fraction form
    274,556/409,425 = 409,425/x
  3. Step 3: Cross multiply
    274,556x = 409,425 × 409,425
  4. Step 4: Simplify right side
    274,556x = 167,628,830,625
  5. Step 5: Solve for x
    x = 167,628,830,625/274,556
  6. Step 6: Final answer
    x = 610,545.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.