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Finding the Third Proportional to 415,082 and 622,623

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Solution

The third proportional to 415,082 and 622,623 is: 933,934.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,082 : 622,623 = 622,623 : x
  2. Step 2: Convert to fraction form
    415,082/622,623 = 622,623/x
  3. Step 3: Cross multiply
    415,082x = 622,623 × 622,623
  4. Step 4: Simplify right side
    415,082x = 387,659,400,129
  5. Step 5: Solve for x
    x = 387,659,400,129/415,082
  6. Step 6: Final answer
    x = 933,934.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.