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Finding the Third Proportional to 296,676 and 439,463.25

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Solution

The third proportional to 296,676 and 439,463.25 is: 650,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,676 : 439,463.25 = 439,463.25 : x
  2. Step 2: Convert to fraction form
    296,676/439,463.25 = 439,463.25/x
  3. Step 3: Cross multiply
    296,676x = 439,463.25 × 439,463.25
  4. Step 4: Simplify right side
    296,676x = 193,127,948,100.56
  5. Step 5: Solve for x
    x = 193,127,948,100.56/296,676
  6. Step 6: Final answer
    x = 650,972.60

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.