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Finding the Third Proportional to 294,554.81 and 641,595.94

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Solution

The third proportional to 294,554.81 and 641,595.94 is: 1,397,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,554.81 : 641,595.94 = 641,595.94 : x
  2. Step 2: Convert to fraction form
    294,554.81/641,595.94 = 641,595.94/x
  3. Step 3: Cross multiply
    294,554.81x = 641,595.94 × 641,595.94
  4. Step 4: Simplify right side
    294,554.81x = 411,645,347,016.50
  5. Step 5: Solve for x
    x = 411,645,347,016.50/294,554.81
  6. Step 6: Final answer
    x = 1,397,516.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.