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Finding the Third Proportional to 335,707.88 and 654,284.25

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Solution

The third proportional to 335,707.88 and 654,284.25 is: 1,275,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,707.88 : 654,284.25 = 654,284.25 : x
  2. Step 2: Convert to fraction form
    335,707.88/654,284.25 = 654,284.25/x
  3. Step 3: Cross multiply
    335,707.88x = 654,284.25 × 654,284.25
  4. Step 4: Simplify right side
    335,707.88x = 428,087,879,798.06
  5. Step 5: Solve for x
    x = 428,087,879,798.06/335,707.88
  6. Step 6: Final answer
    x = 1,275,179.74

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.