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Finding the Third Proportional to 494,547.75 and 770,712.75

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Solution

The third proportional to 494,547.75 and 770,712.75 is: 1,201,093.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,547.75 : 770,712.75 = 770,712.75 : x
  2. Step 2: Convert to fraction form
    494,547.75/770,712.75 = 770,712.75/x
  3. Step 3: Cross multiply
    494,547.75x = 770,712.75 × 770,712.75
  4. Step 4: Simplify right side
    494,547.75x = 593,998,143,012.56
  5. Step 5: Solve for x
    x = 593,998,143,012.56/494,547.75
  6. Step 6: Final answer
    x = 1,201,093.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.