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Finding the Third Proportional to 492,108 and 770,966

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Solution

The third proportional to 492,108 and 770,966 is: 1,207,841.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,108 : 770,966 = 770,966 : x
  2. Step 2: Convert to fraction form
    492,108/770,966 = 770,966/x
  3. Step 3: Cross multiply
    492,108x = 770,966 × 770,966
  4. Step 4: Simplify right side
    492,108x = 594,388,573,156
  5. Step 5: Solve for x
    x = 594,388,573,156/492,108
  6. Step 6: Final answer
    x = 1,207,841.72

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.