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Finding the Third Proportional to 378,013.50 and 585,292.50

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Solution

The third proportional to 378,013.50 and 585,292.50 is: 906,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,013.50 : 585,292.50 = 585,292.50 : x
  2. Step 2: Convert to fraction form
    378,013.50/585,292.50 = 585,292.50/x
  3. Step 3: Cross multiply
    378,013.50x = 585,292.50 × 585,292.50
  4. Step 4: Simplify right side
    378,013.50x = 342,567,310,556.25
  5. Step 5: Solve for x
    x = 342,567,310,556.25/378,013.50
  6. Step 6: Final answer
    x = 906,230.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.