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Finding the Third Proportional to 184,806 and 403,024

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Solution

The third proportional to 184,806 and 403,024 is: 878,912.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,806 : 403,024 = 403,024 : x
  2. Step 2: Convert to fraction form
    184,806/403,024 = 403,024/x
  3. Step 3: Cross multiply
    184,806x = 403,024 × 403,024
  4. Step 4: Simplify right side
    184,806x = 162,428,344,576
  5. Step 5: Solve for x
    x = 162,428,344,576/184,806
  6. Step 6: Final answer
    x = 878,912.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.