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Finding the Third Proportional to 233,192 and 502,056

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Solution

The third proportional to 233,192 and 502,056 is: 1,080,912.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,192 : 502,056 = 502,056 : x
  2. Step 2: Convert to fraction form
    233,192/502,056 = 502,056/x
  3. Step 3: Cross multiply
    233,192x = 502,056 × 502,056
  4. Step 4: Simplify right side
    233,192x = 252,060,227,136
  5. Step 5: Solve for x
    x = 252,060,227,136/233,192
  6. Step 6: Final answer
    x = 1,080,912.84

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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.