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Finding the Third Proportional to 330,448.50 and 525,197.25

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Solution

The third proportional to 330,448.50 and 525,197.25 is: 834,720.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,448.50 : 525,197.25 = 525,197.25 : x
  2. Step 2: Convert to fraction form
    330,448.50/525,197.25 = 525,197.25/x
  3. Step 3: Cross multiply
    330,448.50x = 525,197.25 × 525,197.25
  4. Step 4: Simplify right side
    330,448.50x = 275,832,151,407.56
  5. Step 5: Solve for x
    x = 275,832,151,407.56/330,448.50
  6. Step 6: Final answer
    x = 834,720.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.