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Finding the Third Proportional to 379,869.75 and 601,516.13

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Solution

The third proportional to 379,869.75 and 601,516.13 is: 952,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,869.75 : 601,516.13 = 601,516.13 : x
  2. Step 2: Convert to fraction form
    379,869.75/601,516.13 = 601,516.13/x
  3. Step 3: Cross multiply
    379,869.75x = 601,516.13 × 601,516.13
  4. Step 4: Simplify right side
    379,869.75x = 361,821,648,635.02
  5. Step 5: Solve for x
    x = 361,821,648,635.02/379,869.75
  6. Step 6: Final answer
    x = 952,488.71

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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.