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Finding the Third Proportional to 496,705.50 and 768,919.50

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Solution

The third proportional to 496,705.50 and 768,919.50 is: 1,190,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,705.50 : 768,919.50 = 768,919.50 : x
  2. Step 2: Convert to fraction form
    496,705.50/768,919.50 = 768,919.50/x
  3. Step 3: Cross multiply
    496,705.50x = 768,919.50 × 768,919.50
  4. Step 4: Simplify right side
    496,705.50x = 591,237,197,480.25
  5. Step 5: Solve for x
    x = 591,237,197,480.25/496,705.50
  6. Step 6: Final answer
    x = 1,190,317.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.