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Finding the Third Proportional to 297,756 and 649,038

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Solution

The third proportional to 297,756 and 649,038 is: 1,414,750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,756 : 649,038 = 649,038 : x
  2. Step 2: Convert to fraction form
    297,756/649,038 = 649,038/x
  3. Step 3: Cross multiply
    297,756x = 649,038 × 649,038
  4. Step 4: Simplify right side
    297,756x = 421,250,325,444
  5. Step 5: Solve for x
    x = 421,250,325,444/297,756
  6. Step 6: Final answer
    x = 1,414,750.08

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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.