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Finding the Third Proportional to 366,463 and 560,593

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Solution

The third proportional to 366,463 and 560,593 is: 857,561.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,463 : 560,593 = 560,593 : x
  2. Step 2: Convert to fraction form
    366,463/560,593 = 560,593/x
  3. Step 3: Cross multiply
    366,463x = 560,593 × 560,593
  4. Step 4: Simplify right side
    366,463x = 314,264,511,649
  5. Step 5: Solve for x
    x = 314,264,511,649/366,463
  6. Step 6: Final answer
    x = 857,561.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.