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Finding the Third Proportional to 212,726 and 453,608

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Solution

The third proportional to 212,726 and 453,608 is: 967,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,726 : 453,608 = 453,608 : x
  2. Step 2: Convert to fraction form
    212,726/453,608 = 453,608/x
  3. Step 3: Cross multiply
    212,726x = 453,608 × 453,608
  4. Step 4: Simplify right side
    212,726x = 205,760,217,664
  5. Step 5: Solve for x
    x = 205,760,217,664/212,726
  6. Step 6: Final answer
    x = 967,254.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.