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Finding the Third Proportional to 343,321.03 and 747,673.03

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Solution

The third proportional to 343,321.03 and 747,673.03 is: 1,628,257.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,321.03 : 747,673.03 = 747,673.03 : x
  2. Step 2: Convert to fraction form
    343,321.03/747,673.03 = 747,673.03/x
  3. Step 3: Cross multiply
    343,321.03x = 747,673.03 × 747,673.03
  4. Step 4: Simplify right side
    343,321.03x = 559,014,961,658.56
  5. Step 5: Solve for x
    x = 559,014,961,658.56/343,321.03
  6. Step 6: Final answer
    x = 1,628,257.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.