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Finding the Third Proportional to 417,234.75 and 893,517

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Solution

The third proportional to 417,234.75 and 893,517 is: 1,913,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,234.75 : 893,517 = 893,517 : x
  2. Step 2: Convert to fraction form
    417,234.75/893,517 = 893,517/x
  3. Step 3: Cross multiply
    417,234.75x = 893,517 × 893,517
  4. Step 4: Simplify right side
    417,234.75x = 798,372,629,289
  5. Step 5: Solve for x
    x = 798,372,629,289/417,234.75
  6. Step 6: Final answer
    x = 1,913,485.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.