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Finding the Third Proportional to 404,178 and 606,267

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Solution

The third proportional to 404,178 and 606,267 is: 909,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,178 : 606,267 = 606,267 : x
  2. Step 2: Convert to fraction form
    404,178/606,267 = 606,267/x
  3. Step 3: Cross multiply
    404,178x = 606,267 × 606,267
  4. Step 4: Simplify right side
    404,178x = 367,559,675,289
  5. Step 5: Solve for x
    x = 367,559,675,289/404,178
  6. Step 6: Final answer
    x = 909,400.50

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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.