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Finding the Third Proportional to 350,516 and 525,176

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Solution

The third proportional to 350,516 and 525,176 is: 786,868.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,516 : 525,176 = 525,176 : x
  2. Step 2: Convert to fraction form
    350,516/525,176 = 525,176/x
  3. Step 3: Cross multiply
    350,516x = 525,176 × 525,176
  4. Step 4: Simplify right side
    350,516x = 275,809,830,976
  5. Step 5: Solve for x
    x = 275,809,830,976/350,516
  6. Step 6: Final answer
    x = 786,868.02

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