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Finding the Third Proportional to 233,416 and 512,016

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Solution

The third proportional to 233,416 and 512,016 is: 1,123,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,416 : 512,016 = 512,016 : x
  2. Step 2: Convert to fraction form
    233,416/512,016 = 512,016/x
  3. Step 3: Cross multiply
    233,416x = 512,016 × 512,016
  4. Step 4: Simplify right side
    233,416x = 262,160,384,256
  5. Step 5: Solve for x
    x = 262,160,384,256/233,416
  6. Step 6: Final answer
    x = 1,123,146.59

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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.