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Finding the Third Proportional to 365,763 and 782,223

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Solution

The third proportional to 365,763 and 782,223 is: 1,672,866.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,763 : 782,223 = 782,223 : x
  2. Step 2: Convert to fraction form
    365,763/782,223 = 782,223/x
  3. Step 3: Cross multiply
    365,763x = 782,223 × 782,223
  4. Step 4: Simplify right side
    365,763x = 611,872,821,729
  5. Step 5: Solve for x
    x = 611,872,821,729/365,763
  6. Step 6: Final answer
    x = 1,672,866.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.