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Finding the Third Proportional to 297,747 and 649,030

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Solution

The third proportional to 297,747 and 649,030 is: 1,414,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,747 : 649,030 = 649,030 : x
  2. Step 2: Convert to fraction form
    297,747/649,030 = 649,030/x
  3. Step 3: Cross multiply
    297,747x = 649,030 × 649,030
  4. Step 4: Simplify right side
    297,747x = 421,239,940,900
  5. Step 5: Solve for x
    x = 421,239,940,900/297,747
  6. Step 6: Final answer
    x = 1,414,757.97

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Why These Related Problems?

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