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Finding the Third Proportional to 212,076.75 and 460,968

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Solution

The third proportional to 212,076.75 and 460,968 is: 1,001,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,076.75 : 460,968 = 460,968 : x
  2. Step 2: Convert to fraction form
    212,076.75/460,968 = 460,968/x
  3. Step 3: Cross multiply
    212,076.75x = 460,968 × 460,968
  4. Step 4: Simplify right side
    212,076.75x = 212,491,497,024
  5. Step 5: Solve for x
    x = 212,491,497,024/212,076.75
  6. Step 6: Final answer
    x = 1,001,955.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.