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Finding the Third Proportional to 298,037 and 638,687

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Solution

The third proportional to 298,037 and 638,687 is: 1,368,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,037 : 638,687 = 638,687 : x
  2. Step 2: Convert to fraction form
    298,037/638,687 = 638,687/x
  3. Step 3: Cross multiply
    298,037x = 638,687 × 638,687
  4. Step 4: Simplify right side
    298,037x = 407,921,083,969
  5. Step 5: Solve for x
    x = 407,921,083,969/298,037
  6. Step 6: Final answer
    x = 1,368,692.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.