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Finding the Third Proportional to 333,823.50 and 690,975

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Solution

The third proportional to 333,823.50 and 690,975 is: 1,430,236.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,823.50 : 690,975 = 690,975 : x
  2. Step 2: Convert to fraction form
    333,823.50/690,975 = 690,975/x
  3. Step 3: Cross multiply
    333,823.50x = 690,975 × 690,975
  4. Step 4: Simplify right side
    333,823.50x = 477,446,450,625
  5. Step 5: Solve for x
    x = 477,446,450,625/333,823.50
  6. Step 6: Final answer
    x = 1,430,236.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.