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Finding the Third Proportional to 618,899.50 and 946,739.50

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Solution

The third proportional to 618,899.50 and 946,739.50 is: 1,448,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    618,899.50 : 946,739.50 = 946,739.50 : x
  2. Step 2: Convert to fraction form
    618,899.50/946,739.50 = 946,739.50/x
  3. Step 3: Cross multiply
    618,899.50x = 946,739.50 × 946,739.50
  4. Step 4: Simplify right side
    618,899.50x = 896,315,680,860.25
  5. Step 5: Solve for x
    x = 896,315,680,860.25/618,899.50
  6. Step 6: Final answer
    x = 1,448,241.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.