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Finding the Third Proportional to 414,328.50 and 608,370.75

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Solution

The third proportional to 414,328.50 and 608,370.75 is: 893,288.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,328.50 : 608,370.75 = 608,370.75 : x
  2. Step 2: Convert to fraction form
    414,328.50/608,370.75 = 608,370.75/x
  3. Step 3: Cross multiply
    414,328.50x = 608,370.75 × 608,370.75
  4. Step 4: Simplify right side
    414,328.50x = 370,114,969,455.56
  5. Step 5: Solve for x
    x = 370,114,969,455.56/414,328.50
  6. Step 6: Final answer
    x = 893,288.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.