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Finding the Third Proportional to 350,230.50 and 525,346.88

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Solution

The third proportional to 350,230.50 and 525,346.88 is: 788,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,230.50 : 525,346.88 = 525,346.88 : x
  2. Step 2: Convert to fraction form
    350,230.50/525,346.88 = 525,346.88/x
  3. Step 3: Cross multiply
    350,230.50x = 525,346.88 × 525,346.88
  4. Step 4: Simplify right side
    350,230.50x = 275,989,339,072.27
  5. Step 5: Solve for x
    x = 275,989,339,072.27/350,230.50
  6. Step 6: Final answer
    x = 788,022.00

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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.