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Finding the Third Proportional to 343,563.19 and 748,119.38

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Solution

The third proportional to 343,563.19 and 748,119.38 is: 1,629,052.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,563.19 : 748,119.38 = 748,119.38 : x
  2. Step 2: Convert to fraction form
    343,563.19/748,119.38 = 748,119.38/x
  3. Step 3: Cross multiply
    343,563.19x = 748,119.38 × 748,119.38
  4. Step 4: Simplify right side
    343,563.19x = 559,682,599,250.39
  5. Step 5: Solve for x
    x = 559,682,599,250.39/343,563.19
  6. Step 6: Final answer
    x = 1,629,052.88

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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.