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Finding the Third Proportional to 641,274.50 and 901,941

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Solution

The third proportional to 641,274.50 and 901,941 is: 1,268,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,274.50 : 901,941 = 901,941 : x
  2. Step 2: Convert to fraction form
    641,274.50/901,941 = 901,941/x
  3. Step 3: Cross multiply
    641,274.50x = 901,941 × 901,941
  4. Step 4: Simplify right side
    641,274.50x = 813,497,567,481
  5. Step 5: Solve for x
    x = 813,497,567,481/641,274.50
  6. Step 6: Final answer
    x = 1,268,563.72

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.