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Finding the Third Proportional to 315,855 and 690,757.50

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Solution

The third proportional to 315,855 and 690,757.50 is: 1,510,648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,855 : 690,757.50 = 690,757.50 : x
  2. Step 2: Convert to fraction form
    315,855/690,757.50 = 690,757.50/x
  3. Step 3: Cross multiply
    315,855x = 690,757.50 × 690,757.50
  4. Step 4: Simplify right side
    315,855x = 477,145,923,806.25
  5. Step 5: Solve for x
    x = 477,145,923,806.25/315,855
  6. Step 6: Final answer
    x = 1,510,648.63

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.