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Finding the Third Proportional to 379,495.50 and 815,272.50

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Solution

The third proportional to 379,495.50 and 815,272.50 is: 1,751,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,495.50 : 815,272.50 = 815,272.50 : x
  2. Step 2: Convert to fraction form
    379,495.50/815,272.50 = 815,272.50/x
  3. Step 3: Cross multiply
    379,495.50x = 815,272.50 × 815,272.50
  4. Step 4: Simplify right side
    379,495.50x = 664,669,249,256.25
  5. Step 5: Solve for x
    x = 664,669,249,256.25/379,495.50
  6. Step 6: Final answer
    x = 1,751,454.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.