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Finding the Third Proportional to 298,028.50 and 638,670

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Solution

The third proportional to 298,028.50 and 638,670 is: 1,368,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,028.50 : 638,670 = 638,670 : x
  2. Step 2: Convert to fraction form
    298,028.50/638,670 = 638,670/x
  3. Step 3: Cross multiply
    298,028.50x = 638,670 × 638,670
  4. Step 4: Simplify right side
    298,028.50x = 407,899,368,900
  5. Step 5: Solve for x
    x = 407,899,368,900/298,028.50
  6. Step 6: Final answer
    x = 1,368,658.93

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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.