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Finding the Third Proportional to 496,859.06 and 770,780.81

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Solution

The third proportional to 496,859.06 and 770,780.81 is: 1,195,717.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,859.06 : 770,780.81 = 770,780.81 : x
  2. Step 2: Convert to fraction form
    496,859.06/770,780.81 = 770,780.81/x
  3. Step 3: Cross multiply
    496,859.06x = 770,780.81 × 770,780.81
  4. Step 4: Simplify right side
    496,859.06x = 594,103,060,918.16
  5. Step 5: Solve for x
    x = 594,103,060,918.16/496,859.06
  6. Step 6: Final answer
    x = 1,195,717.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.