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Finding the Third Proportional to 259,402 and 476,180

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Solution

The third proportional to 259,402 and 476,180 is: 874,115.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,402 : 476,180 = 476,180 : x
  2. Step 2: Convert to fraction form
    259,402/476,180 = 476,180/x
  3. Step 3: Cross multiply
    259,402x = 476,180 × 476,180
  4. Step 4: Simplify right side
    259,402x = 226,747,392,400
  5. Step 5: Solve for x
    x = 226,747,392,400/259,402
  6. Step 6: Final answer
    x = 874,115.82

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.