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Finding the Third Proportional to 370,286 and 560,622

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Solution

The third proportional to 370,286 and 560,622 is: 848,795.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,286 : 560,622 = 560,622 : x
  2. Step 2: Convert to fraction form
    370,286/560,622 = 560,622/x
  3. Step 3: Cross multiply
    370,286x = 560,622 × 560,622
  4. Step 4: Simplify right side
    370,286x = 314,297,026,884
  5. Step 5: Solve for x
    x = 314,297,026,884/370,286
  6. Step 6: Final answer
    x = 848,795.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.