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Finding the Third Proportional to 343,591.50 and 738,037.50

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Solution

The third proportional to 343,591.50 and 738,037.50 is: 1,585,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,591.50 : 738,037.50 = 738,037.50 : x
  2. Step 2: Convert to fraction form
    343,591.50/738,037.50 = 738,037.50/x
  3. Step 3: Cross multiply
    343,591.50x = 738,037.50 × 738,037.50
  4. Step 4: Simplify right side
    343,591.50x = 544,699,351,406.25
  5. Step 5: Solve for x
    x = 544,699,351,406.25/343,591.50
  6. Step 6: Final answer
    x = 1,585,310.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.