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Finding the Third Proportional to 275,504.63 and 417,414.94

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Solution

The third proportional to 275,504.63 and 417,414.94 is: 632,422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,504.63 : 417,414.94 = 417,414.94 : x
  2. Step 2: Convert to fraction form
    275,504.63/417,414.94 = 417,414.94/x
  3. Step 3: Cross multiply
    275,504.63x = 417,414.94 × 417,414.94
  4. Step 4: Simplify right side
    275,504.63x = 174,235,230,048.13
  5. Step 5: Solve for x
    x = 174,235,230,048.13/275,504.63
  6. Step 6: Final answer
    x = 632,422.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.