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Finding the Third Proportional to 300,536 and 634,606

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Solution

The third proportional to 300,536 and 634,606 is: 1,340,021.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,536 : 634,606 = 634,606 : x
  2. Step 2: Convert to fraction form
    300,536/634,606 = 634,606/x
  3. Step 3: Cross multiply
    300,536x = 634,606 × 634,606
  4. Step 4: Simplify right side
    300,536x = 402,724,775,236
  5. Step 5: Solve for x
    x = 402,724,775,236/300,536
  6. Step 6: Final answer
    x = 1,340,021.75

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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.