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Finding the Third Proportional to 344,664.50 and 757,361

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Solution

The third proportional to 344,664.50 and 757,361 is: 1,664,214.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,664.50 : 757,361 = 757,361 : x
  2. Step 2: Convert to fraction form
    344,664.50/757,361 = 757,361/x
  3. Step 3: Cross multiply
    344,664.50x = 757,361 × 757,361
  4. Step 4: Simplify right side
    344,664.50x = 573,595,684,321
  5. Step 5: Solve for x
    x = 573,595,684,321/344,664.50
  6. Step 6: Final answer
    x = 1,664,214.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.