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Finding the Third Proportional to 294,555.63 and 641,597.50

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Solution

The third proportional to 294,555.63 and 641,597.50 is: 1,397,519.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,555.63 : 641,597.50 = 641,597.50 : x
  2. Step 2: Convert to fraction form
    294,555.63/641,597.50 = 641,597.50/x
  3. Step 3: Cross multiply
    294,555.63x = 641,597.50 × 641,597.50
  4. Step 4: Simplify right side
    294,555.63x = 411,647,352,006.25
  5. Step 5: Solve for x
    x = 411,647,352,006.25/294,555.63
  6. Step 6: Final answer
    x = 1,397,519.91

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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.