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Finding the Third Proportional to 229,618.50 and 503,625

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Solution

The third proportional to 229,618.50 and 503,625 is: 1,104,606.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,618.50 : 503,625 = 503,625 : x
  2. Step 2: Convert to fraction form
    229,618.50/503,625 = 503,625/x
  3. Step 3: Cross multiply
    229,618.50x = 503,625 × 503,625
  4. Step 4: Simplify right side
    229,618.50x = 253,638,140,625
  5. Step 5: Solve for x
    x = 253,638,140,625/229,618.50
  6. Step 6: Final answer
    x = 1,104,606.73

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Why These Related Problems?

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