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Finding the Third Proportional to 262,201 and 574,946

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Solution

The third proportional to 262,201 and 574,946 is: 1,260,723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,201 : 574,946 = 574,946 : x
  2. Step 2: Convert to fraction form
    262,201/574,946 = 574,946/x
  3. Step 3: Cross multiply
    262,201x = 574,946 × 574,946
  4. Step 4: Simplify right side
    262,201x = 330,562,902,916
  5. Step 5: Solve for x
    x = 330,562,902,916/262,201
  6. Step 6: Final answer
    x = 1,260,723.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.