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Finding the Third Proportional to 594,713.25 and 957,579.75

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Solution

The third proportional to 594,713.25 and 957,579.75 is: 1,541,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,713.25 : 957,579.75 = 957,579.75 : x
  2. Step 2: Convert to fraction form
    594,713.25/957,579.75 = 957,579.75/x
  3. Step 3: Cross multiply
    594,713.25x = 957,579.75 × 957,579.75
  4. Step 4: Simplify right side
    594,713.25x = 916,958,977,610.06
  5. Step 5: Solve for x
    x = 916,958,977,610.06/594,713.25
  6. Step 6: Final answer
    x = 1,541,850.59

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.