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Finding the Third Proportional to 343,606.50 and 748,200.38

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Solution

The third proportional to 343,606.50 and 748,200.38 is: 1,629,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,606.50 : 748,200.38 = 748,200.38 : x
  2. Step 2: Convert to fraction form
    343,606.50/748,200.38 = 748,200.38/x
  3. Step 3: Cross multiply
    343,606.50x = 748,200.38 × 748,200.38
  4. Step 4: Simplify right side
    343,606.50x = 559,803,801,150.14
  5. Step 5: Solve for x
    x = 559,803,801,150.14/343,606.50
  6. Step 6: Final answer
    x = 1,629,200.27

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