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Finding the Third Proportional to 344,364.75 and 730,410.75

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Solution

The third proportional to 344,364.75 and 730,410.75 is: 1,549,229.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,364.75 : 730,410.75 = 730,410.75 : x
  2. Step 2: Convert to fraction form
    344,364.75/730,410.75 = 730,410.75/x
  3. Step 3: Cross multiply
    344,364.75x = 730,410.75 × 730,410.75
  4. Step 4: Simplify right side
    344,364.75x = 533,499,863,715.56
  5. Step 5: Solve for x
    x = 533,499,863,715.56/344,364.75
  6. Step 6: Final answer
    x = 1,549,229.02

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.