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Finding the Third Proportional to 300,539 and 634,612

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Solution

The third proportional to 300,539 and 634,612 is: 1,340,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,539 : 634,612 = 634,612 : x
  2. Step 2: Convert to fraction form
    300,539/634,612 = 634,612/x
  3. Step 3: Cross multiply
    300,539x = 634,612 × 634,612
  4. Step 4: Simplify right side
    300,539x = 402,732,390,544
  5. Step 5: Solve for x
    x = 402,732,390,544/300,539
  6. Step 6: Final answer
    x = 1,340,033.71

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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.