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Finding the Third Proportional to 579,039.75 and 835,341.75

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Solution

The third proportional to 579,039.75 and 835,341.75 is: 1,205,091.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,039.75 : 835,341.75 = 835,341.75 : x
  2. Step 2: Convert to fraction form
    579,039.75/835,341.75 = 835,341.75/x
  3. Step 3: Cross multiply
    579,039.75x = 835,341.75 × 835,341.75
  4. Step 4: Simplify right side
    579,039.75x = 697,795,839,293.06
  5. Step 5: Solve for x
    x = 697,795,839,293.06/579,039.75
  6. Step 6: Final answer
    x = 1,205,091.43

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.