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Finding the Third Proportional to 289,520.25 and 417,671.44

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Solution

The third proportional to 289,520.25 and 417,671.44 is: 602,546.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,520.25 : 417,671.44 = 417,671.44 : x
  2. Step 2: Convert to fraction form
    289,520.25/417,671.44 = 417,671.44/x
  3. Step 3: Cross multiply
    289,520.25x = 417,671.44 × 417,671.44
  4. Step 4: Simplify right side
    289,520.25x = 174,449,429,703.32
  5. Step 5: Solve for x
    x = 174,449,429,703.32/289,520.25
  6. Step 6: Final answer
    x = 602,546.56

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.