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Finding the Third Proportional to 215,606.50 and 458,823.50

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Solution

The third proportional to 215,606.50 and 458,823.50 is: 976,403.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,606.50 : 458,823.50 = 458,823.50 : x
  2. Step 2: Convert to fraction form
    215,606.50/458,823.50 = 458,823.50/x
  3. Step 3: Cross multiply
    215,606.50x = 458,823.50 × 458,823.50
  4. Step 4: Simplify right side
    215,606.50x = 210,519,004,152.25
  5. Step 5: Solve for x
    x = 210,519,004,152.25/215,606.50
  6. Step 6: Final answer
    x = 976,403.79

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.