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Finding the Third Proportional to 290,278 and 439,791

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Solution

The third proportional to 290,278 and 439,791 is: 666,313.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,278 : 439,791 = 439,791 : x
  2. Step 2: Convert to fraction form
    290,278/439,791 = 439,791/x
  3. Step 3: Cross multiply
    290,278x = 439,791 × 439,791
  4. Step 4: Simplify right side
    290,278x = 193,416,123,681
  5. Step 5: Solve for x
    x = 193,416,123,681/290,278
  6. Step 6: Final answer
    x = 666,313.41

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.