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Finding the Third Proportional to 404,076 and 606,114

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Solution

The third proportional to 404,076 and 606,114 is: 909,171

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,076 : 606,114 = 606,114 : x
  2. Step 2: Convert to fraction form
    404,076/606,114 = 606,114/x
  3. Step 3: Cross multiply
    404,076x = 606,114 × 606,114
  4. Step 4: Simplify right side
    404,076x = 367,374,180,996
  5. Step 5: Solve for x
    x = 367,374,180,996/404,076
  6. Step 6: Final answer
    x = 909,171

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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.