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Finding the Third Proportional to 404,180 and 606,270

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Solution

The third proportional to 404,180 and 606,270 is: 909,405

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,180 : 606,270 = 606,270 : x
  2. Step 2: Convert to fraction form
    404,180/606,270 = 606,270/x
  3. Step 3: Cross multiply
    404,180x = 606,270 × 606,270
  4. Step 4: Simplify right side
    404,180x = 367,563,312,900
  5. Step 5: Solve for x
    x = 367,563,312,900/404,180
  6. Step 6: Final answer
    x = 909,405

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