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Finding the Third Proportional to 496,795 and 787,946

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Solution

The third proportional to 496,795 and 787,946 is: 1,249,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,795 : 787,946 = 787,946 : x
  2. Step 2: Convert to fraction form
    496,795/787,946 = 787,946/x
  3. Step 3: Cross multiply
    496,795x = 787,946 × 787,946
  4. Step 4: Simplify right side
    496,795x = 620,858,898,916
  5. Step 5: Solve for x
    x = 620,858,898,916/496,795
  6. Step 6: Final answer
    x = 1,249,728.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.