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Finding the Third Proportional to 270,152 and 582,201

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Solution

The third proportional to 270,152 and 582,201 is: 1,254,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,152 : 582,201 = 582,201 : x
  2. Step 2: Convert to fraction form
    270,152/582,201 = 582,201/x
  3. Step 3: Cross multiply
    270,152x = 582,201 × 582,201
  4. Step 4: Simplify right side
    270,152x = 338,958,004,401
  5. Step 5: Solve for x
    x = 338,958,004,401/270,152
  6. Step 6: Final answer
    x = 1,254,693.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.