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Finding the Third Proportional to 350,489.53 and 525,149.58

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Solution

The third proportional to 350,489.53 and 525,149.58 is: 786,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,489.53 : 525,149.58 = 525,149.58 : x
  2. Step 2: Convert to fraction form
    350,489.53/525,149.58 = 525,149.58/x
  3. Step 3: Cross multiply
    350,489.53x = 525,149.58 × 525,149.58
  4. Step 4: Simplify right side
    350,489.53x = 275,782,079,404.87
  5. Step 5: Solve for x
    x = 275,782,079,404.87/350,489.53
  6. Step 6: Final answer
    x = 786,848.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.