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Finding the Third Proportional to 233,609.06 and 502,756.88

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Solution

The third proportional to 233,609.06 and 502,756.88 is: 1,081,997.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,609.06 : 502,756.88 = 502,756.88 : x
  2. Step 2: Convert to fraction form
    233,609.06/502,756.88 = 502,756.88/x
  3. Step 3: Cross multiply
    233,609.06x = 502,756.88 × 502,756.88
  4. Step 4: Simplify right side
    233,609.06x = 252,764,475,359.77
  5. Step 5: Solve for x
    x = 252,764,475,359.77/233,609.06
  6. Step 6: Final answer
    x = 1,081,997.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.