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Finding the Third Proportional to 361,276.45 and 778,048.03

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Solution

The third proportional to 361,276.45 and 778,048.03 is: 1,675,610.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,276.45 : 778,048.03 = 778,048.03 : x
  2. Step 2: Convert to fraction form
    361,276.45/778,048.03 = 778,048.03/x
  3. Step 3: Cross multiply
    361,276.45x = 778,048.03 × 778,048.03
  4. Step 4: Simplify right side
    361,276.45x = 605,358,738,932.00
  5. Step 5: Solve for x
    x = 605,358,738,932.00/361,276.45
  6. Step 6: Final answer
    x = 1,675,610.83

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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.