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Finding the Third Proportional to 677,521.13 and 1,504,507.50

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Solution

The third proportional to 677,521.13 and 1,504,507.50 is: 3,340,918.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,521.13 : 1,504,507.50 = 1,504,507.50 : x
  2. Step 2: Convert to fraction form
    677,521.13/1,504,507.50 = 1,504,507.50/x
  3. Step 3: Cross multiply
    677,521.13x = 1,504,507.50 × 1,504,507.50
  4. Step 4: Simplify right side
    677,521.13x = 2,263,542,817,556.25
  5. Step 5: Solve for x
    x = 2,263,542,817,556.25/677,521.13
  6. Step 6: Final answer
    x = 3,340,918.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.