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Finding the Third Proportional to 212,220 and 456,035.06

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Solution

The third proportional to 212,220 and 456,035.06 is: 979,964.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,220 : 456,035.06 = 456,035.06 : x
  2. Step 2: Convert to fraction form
    212,220/456,035.06 = 456,035.06/x
  3. Step 3: Cross multiply
    212,220x = 456,035.06 × 456,035.06
  4. Step 4: Simplify right side
    212,220x = 207,967,978,229.38
  5. Step 5: Solve for x
    x = 207,967,978,229.38/212,220
  6. Step 6: Final answer
    x = 979,964.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.