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Finding the Third Proportional to 483,321.75 and 710,179.50

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Solution

The third proportional to 483,321.75 and 710,179.50 is: 1,043,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,321.75 : 710,179.50 = 710,179.50 : x
  2. Step 2: Convert to fraction form
    483,321.75/710,179.50 = 710,179.50/x
  3. Step 3: Cross multiply
    483,321.75x = 710,179.50 × 710,179.50
  4. Step 4: Simplify right side
    483,321.75x = 504,354,922,220.25
  5. Step 5: Solve for x
    x = 504,354,922,220.25/483,321.75
  6. Step 6: Final answer
    x = 1,043,517.95

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.