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Finding the Third Proportional to 361,108.50 and 780,036

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Solution

The third proportional to 361,108.50 and 780,036 is: 1,684,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,108.50 : 780,036 = 780,036 : x
  2. Step 2: Convert to fraction form
    361,108.50/780,036 = 780,036/x
  3. Step 3: Cross multiply
    361,108.50x = 780,036 × 780,036
  4. Step 4: Simplify right side
    361,108.50x = 608,456,161,296
  5. Step 5: Solve for x
    x = 608,456,161,296/361,108.50
  6. Step 6: Final answer
    x = 1,684,967.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.