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Finding the Third Proportional to 308,040.50 and 460,800.50

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Solution

The third proportional to 308,040.50 and 460,800.50 is: 689,315.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,040.50 : 460,800.50 = 460,800.50 : x
  2. Step 2: Convert to fraction form
    308,040.50/460,800.50 = 460,800.50/x
  3. Step 3: Cross multiply
    308,040.50x = 460,800.50 × 460,800.50
  4. Step 4: Simplify right side
    308,040.50x = 212,337,100,800.25
  5. Step 5: Solve for x
    x = 212,337,100,800.25/308,040.50
  6. Step 6: Final answer
    x = 689,315.53

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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.