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Finding the Third Proportional to 296,426 and 443,827.75

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Solution

The third proportional to 296,426 and 443,827.75 is: 664,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,426 : 443,827.75 = 443,827.75 : x
  2. Step 2: Convert to fraction form
    296,426/443,827.75 = 443,827.75/x
  3. Step 3: Cross multiply
    296,426x = 443,827.75 × 443,827.75
  4. Step 4: Simplify right side
    296,426x = 196,983,071,670.06
  5. Step 5: Solve for x
    x = 196,983,071,670.06/296,426
  6. Step 6: Final answer
    x = 664,526.97

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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.