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Finding the Third Proportional to 339,076.13 and 524,559.38

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Solution

The third proportional to 339,076.13 and 524,559.38 is: 811,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,076.13 : 524,559.38 = 524,559.38 : x
  2. Step 2: Convert to fraction form
    339,076.13/524,559.38 = 524,559.38/x
  3. Step 3: Cross multiply
    339,076.13x = 524,559.38 × 524,559.38
  4. Step 4: Simplify right side
    339,076.13x = 275,162,537,900.39
  5. Step 5: Solve for x
    x = 275,162,537,900.39/339,076.13
  6. Step 6: Final answer
    x = 811,506.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.