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Finding the Third Proportional to 230,429.50 and 503,069.80

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Solution

The third proportional to 230,429.50 and 503,069.80 is: 1,098,293.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,429.50 : 503,069.80 = 503,069.80 : x
  2. Step 2: Convert to fraction form
    230,429.50/503,069.80 = 503,069.80/x
  3. Step 3: Cross multiply
    230,429.50x = 503,069.80 × 503,069.80
  4. Step 4: Simplify right side
    230,429.50x = 253,079,224,458.09
  5. Step 5: Solve for x
    x = 253,079,224,458.09/230,429.50
  6. Step 6: Final answer
    x = 1,098,293.53

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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.