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Finding the Third Proportional to 300,540 and 634,614

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Solution

The third proportional to 300,540 and 634,614 is: 1,340,037.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,540 : 634,614 = 634,614 : x
  2. Step 2: Convert to fraction form
    300,540/634,614 = 634,614/x
  3. Step 3: Cross multiply
    300,540x = 634,614 × 634,614
  4. Step 4: Simplify right side
    300,540x = 402,734,928,996
  5. Step 5: Solve for x
    x = 402,734,928,996/300,540
  6. Step 6: Final answer
    x = 1,340,037.70

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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.