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Finding the Third Proportional to 300,538 and 634,609

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Solution

The third proportional to 300,538 and 634,609 is: 1,340,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,538 : 634,609 = 634,609 : x
  2. Step 2: Convert to fraction form
    300,538/634,609 = 634,609/x
  3. Step 3: Cross multiply
    300,538x = 634,609 × 634,609
  4. Step 4: Simplify right side
    300,538x = 402,728,582,881
  5. Step 5: Solve for x
    x = 402,728,582,881/300,538
  6. Step 6: Final answer
    x = 1,340,025.50

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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.