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Finding the Third Proportional to 233,316 and 502,494.75

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Solution

The third proportional to 233,316 and 502,494.75 is: 1,082,227.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,316 : 502,494.75 = 502,494.75 : x
  2. Step 2: Convert to fraction form
    233,316/502,494.75 = 502,494.75/x
  3. Step 3: Cross multiply
    233,316x = 502,494.75 × 502,494.75
  4. Step 4: Simplify right side
    233,316x = 252,500,973,777.56
  5. Step 5: Solve for x
    x = 252,500,973,777.56/233,316
  6. Step 6: Final answer
    x = 1,082,227.42

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