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Finding the Third Proportional to 575,574.75 and 863,363.25

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Solution

The third proportional to 575,574.75 and 863,363.25 is: 1,295,046.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,574.75 : 863,363.25 = 863,363.25 : x
  2. Step 2: Convert to fraction form
    575,574.75/863,363.25 = 863,363.25/x
  3. Step 3: Cross multiply
    575,574.75x = 863,363.25 × 863,363.25
  4. Step 4: Simplify right side
    575,574.75x = 745,396,101,450.56
  5. Step 5: Solve for x
    x = 745,396,101,450.56/575,574.75
  6. Step 6: Final answer
    x = 1,295,046.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.