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Finding the Third Proportional to 350,096 and 525,036

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Solution

The third proportional to 350,096 and 525,036 is: 787,392.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,096 : 525,036 = 525,036 : x
  2. Step 2: Convert to fraction form
    350,096/525,036 = 525,036/x
  3. Step 3: Cross multiply
    350,096x = 525,036 × 525,036
  4. Step 4: Simplify right side
    350,096x = 275,662,801,296
  5. Step 5: Solve for x
    x = 275,662,801,296/350,096
  6. Step 6: Final answer
    x = 787,392.03

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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.