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Finding the Third Proportional to 298,030.50 and 638,673

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Solution

The third proportional to 298,030.50 and 638,673 is: 1,368,662.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,030.50 : 638,673 = 638,673 : x
  2. Step 2: Convert to fraction form
    298,030.50/638,673 = 638,673/x
  3. Step 3: Cross multiply
    298,030.50x = 638,673 × 638,673
  4. Step 4: Simplify right side
    298,030.50x = 407,903,200,929
  5. Step 5: Solve for x
    x = 407,903,200,929/298,030.50
  6. Step 6: Final answer
    x = 1,368,662.61

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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.