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Finding the Third Proportional to 212,226 and 457,608

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Solution

The third proportional to 212,226 and 457,608 is: 986,707.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,226 : 457,608 = 457,608 : x
  2. Step 2: Convert to fraction form
    212,226/457,608 = 457,608/x
  3. Step 3: Cross multiply
    212,226x = 457,608 × 457,608
  4. Step 4: Simplify right side
    212,226x = 209,405,081,664
  5. Step 5: Solve for x
    x = 209,405,081,664/212,226
  6. Step 6: Final answer
    x = 986,707.95

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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.