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Finding the Third Proportional to 379,903.50 and 601,569

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Solution

The third proportional to 379,903.50 and 601,569 is: 952,571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,903.50 : 601,569 = 601,569 : x
  2. Step 2: Convert to fraction form
    379,903.50/601,569 = 601,569/x
  3. Step 3: Cross multiply
    379,903.50x = 601,569 × 601,569
  4. Step 4: Simplify right side
    379,903.50x = 361,885,261,761
  5. Step 5: Solve for x
    x = 361,885,261,761/379,903.50
  6. Step 6: Final answer
    x = 952,571.54

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.