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Finding the Third Proportional to 591,760.05 and 1,294,231.29

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Solution

The third proportional to 591,760.05 and 1,294,231.29 is: 2,830,597.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,760.05 : 1,294,231.29 = 1,294,231.29 : x
  2. Step 2: Convert to fraction form
    591,760.05/1,294,231.29 = 1,294,231.29/x
  3. Step 3: Cross multiply
    591,760.05x = 1,294,231.29 × 1,294,231.29
  4. Step 4: Simplify right side
    591,760.05x = 1,675,034,629,588.38
  5. Step 5: Solve for x
    x = 1,675,034,629,588.38/591,760.05
  6. Step 6: Final answer
    x = 2,830,597.67

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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.