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Finding the Third Proportional to 297,072 and 641,491.88

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Solution

The third proportional to 297,072 and 641,491.88 is: 1,385,225.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,072 : 641,491.88 = 641,491.88 : x
  2. Step 2: Convert to fraction form
    297,072/641,491.88 = 641,491.88/x
  3. Step 3: Cross multiply
    297,072x = 641,491.88 × 641,491.88
  4. Step 4: Simplify right side
    297,072x = 411,511,825,691.02
  5. Step 5: Solve for x
    x = 411,511,825,691.02/297,072
  6. Step 6: Final answer
    x = 1,385,225.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.