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Finding the Third Proportional to 199,812 and 427,968

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Solution

The third proportional to 199,812 and 427,968 is: 916,644.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,812 : 427,968 = 427,968 : x
  2. Step 2: Convert to fraction form
    199,812/427,968 = 427,968/x
  3. Step 3: Cross multiply
    199,812x = 427,968 × 427,968
  4. Step 4: Simplify right side
    199,812x = 183,156,609,024
  5. Step 5: Solve for x
    x = 183,156,609,024/199,812
  6. Step 6: Final answer
    x = 916,644.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.