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Finding the Third Proportional to 417,539.25 and 914,877.56

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Solution

The third proportional to 417,539.25 and 914,877.56 is: 2,004,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,539.25 : 914,877.56 = 914,877.56 : x
  2. Step 2: Convert to fraction form
    417,539.25/914,877.56 = 914,877.56/x
  3. Step 3: Cross multiply
    417,539.25x = 914,877.56 × 914,877.56
  4. Step 4: Simplify right side
    417,539.25x = 837,000,954,365.94
  5. Step 5: Solve for x
    x = 837,000,954,365.94/417,539.25
  6. Step 6: Final answer
    x = 2,004,604.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.