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Finding the Third Proportional to 300,114 and 634,004

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Solution

The third proportional to 300,114 and 634,004 is: 1,339,361.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,114 : 634,004 = 634,004 : x
  2. Step 2: Convert to fraction form
    300,114/634,004 = 634,004/x
  3. Step 3: Cross multiply
    300,114x = 634,004 × 634,004
  4. Step 4: Simplify right side
    300,114x = 401,961,072,016
  5. Step 5: Solve for x
    x = 401,961,072,016/300,114
  6. Step 6: Final answer
    x = 1,339,361.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.