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Finding the Third Proportional to 298,050 and 638,756

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Solution

The third proportional to 298,050 and 638,756 is: 1,368,928.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,050 : 638,756 = 638,756 : x
  2. Step 2: Convert to fraction form
    298,050/638,756 = 638,756/x
  3. Step 3: Cross multiply
    298,050x = 638,756 × 638,756
  4. Step 4: Simplify right side
    298,050x = 408,009,227,536
  5. Step 5: Solve for x
    x = 408,009,227,536/298,050
  6. Step 6: Final answer
    x = 1,368,928.80

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