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Finding the Third Proportional to 275,253 and 604,635

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Solution

The third proportional to 275,253 and 604,635 is: 1,328,172.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,253 : 604,635 = 604,635 : x
  2. Step 2: Convert to fraction form
    275,253/604,635 = 604,635/x
  3. Step 3: Cross multiply
    275,253x = 604,635 × 604,635
  4. Step 4: Simplify right side
    275,253x = 365,583,483,225
  5. Step 5: Solve for x
    x = 365,583,483,225/275,253
  6. Step 6: Final answer
    x = 1,328,172.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.