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Finding the Third Proportional to 366,986 and 567,082

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Solution

The third proportional to 366,986 and 567,082 is: 876,278.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,986 : 567,082 = 567,082 : x
  2. Step 2: Convert to fraction form
    366,986/567,082 = 567,082/x
  3. Step 3: Cross multiply
    366,986x = 567,082 × 567,082
  4. Step 4: Simplify right side
    366,986x = 321,581,994,724
  5. Step 5: Solve for x
    x = 321,581,994,724/366,986
  6. Step 6: Final answer
    x = 876,278.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.