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Finding the Third Proportional to 343,450.13 and 746,040.38

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Solution

The third proportional to 343,450.13 and 746,040.38 is: 1,620,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,450.13 : 746,040.38 = 746,040.38 : x
  2. Step 2: Convert to fraction form
    343,450.13/746,040.38 = 746,040.38/x
  3. Step 3: Cross multiply
    343,450.13x = 746,040.38 × 746,040.38
  4. Step 4: Simplify right side
    343,450.13x = 556,576,241,130.14
  5. Step 5: Solve for x
    x = 556,576,241,130.14/343,450.13
  6. Step 6: Final answer
    x = 1,620,544.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.