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Finding the Third Proportional to 316,940.34 and 704,745.56

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Solution

The third proportional to 316,940.34 and 704,745.56 is: 1,567,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,940.34 : 704,745.56 = 704,745.56 : x
  2. Step 2: Convert to fraction form
    316,940.34/704,745.56 = 704,745.56/x
  3. Step 3: Cross multiply
    316,940.34x = 704,745.56 × 704,745.56
  4. Step 4: Simplify right side
    316,940.34x = 496,666,307,863.44
  5. Step 5: Solve for x
    x = 496,666,307,863.44/316,940.34
  6. Step 6: Final answer
    x = 1,567,065.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.