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Finding the Third Proportional to 229,621.50 and 503,631

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Solution

The third proportional to 229,621.50 and 503,631 is: 1,104,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,621.50 : 503,631 = 503,631 : x
  2. Step 2: Convert to fraction form
    229,621.50/503,631 = 503,631/x
  3. Step 3: Cross multiply
    229,621.50x = 503,631 × 503,631
  4. Step 4: Simplify right side
    229,621.50x = 253,644,184,161
  5. Step 5: Solve for x
    x = 253,644,184,161/229,621.50
  6. Step 6: Final answer
    x = 1,104,618.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.