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Finding the Third Proportional to 545,055.75 and 836,651.25

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Solution

The third proportional to 545,055.75 and 836,651.25 is: 1,284,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,055.75 : 836,651.25 = 836,651.25 : x
  2. Step 2: Convert to fraction form
    545,055.75/836,651.25 = 836,651.25/x
  3. Step 3: Cross multiply
    545,055.75x = 836,651.25 × 836,651.25
  4. Step 4: Simplify right side
    545,055.75x = 699,985,314,126.56
  5. Step 5: Solve for x
    x = 699,985,314,126.56/545,055.75
  6. Step 6: Final answer
    x = 1,284,245.35

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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.