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Finding the Third Proportional to 213,465.75 and 458,588.94

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Solution

The third proportional to 213,465.75 and 458,588.94 is: 985,187.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,465.75 : 458,588.94 = 458,588.94 : x
  2. Step 2: Convert to fraction form
    213,465.75/458,588.94 = 458,588.94/x
  3. Step 3: Cross multiply
    213,465.75x = 458,588.94 × 458,588.94
  4. Step 4: Simplify right side
    213,465.75x = 210,303,813,597.38
  5. Step 5: Solve for x
    x = 210,303,813,597.38/213,465.75
  6. Step 6: Final answer
    x = 985,187.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.