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Finding the Third Proportional to 288,354.94 and 443,827.69

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Solution

The third proportional to 288,354.94 and 443,827.69 is: 683,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,354.94 : 443,827.69 = 443,827.69 : x
  2. Step 2: Convert to fraction form
    288,354.94/443,827.69 = 443,827.69/x
  3. Step 3: Cross multiply
    288,354.94x = 443,827.69 × 443,827.69
  4. Step 4: Simplify right side
    288,354.94x = 196,983,016,191.60
  5. Step 5: Solve for x
    x = 196,983,016,191.60/288,354.94
  6. Step 6: Final answer
    x = 683,126.91

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.