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Finding the Third Proportional to 325,880.25 and 477,153.75

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Solution

The third proportional to 325,880.25 and 477,153.75 is: 698,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,880.25 : 477,153.75 = 477,153.75 : x
  2. Step 2: Convert to fraction form
    325,880.25/477,153.75 = 477,153.75/x
  3. Step 3: Cross multiply
    325,880.25x = 477,153.75 × 477,153.75
  4. Step 4: Simplify right side
    325,880.25x = 227,675,701,139.06
  5. Step 5: Solve for x
    x = 227,675,701,139.06/325,880.25
  6. Step 6: Final answer
    x = 698,648.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.