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Finding the Third Proportional to 300,546 and 634,626

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Solution

The third proportional to 300,546 and 634,626 is: 1,340,061.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,546 : 634,626 = 634,626 : x
  2. Step 2: Convert to fraction form
    300,546/634,626 = 634,626/x
  3. Step 3: Cross multiply
    300,546x = 634,626 × 634,626
  4. Step 4: Simplify right side
    300,546x = 402,750,159,876
  5. Step 5: Solve for x
    x = 402,750,159,876/300,546
  6. Step 6: Final answer
    x = 1,340,061.62

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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.