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Finding the Third Proportional to 233,406 and 512,008

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Solution

The third proportional to 233,406 and 512,008 is: 1,123,159.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,406 : 512,008 = 512,008 : x
  2. Step 2: Convert to fraction form
    233,406/512,008 = 512,008/x
  3. Step 3: Cross multiply
    233,406x = 512,008 × 512,008
  4. Step 4: Simplify right side
    233,406x = 262,152,192,064
  5. Step 5: Solve for x
    x = 262,152,192,064/233,406
  6. Step 6: Final answer
    x = 1,123,159.61

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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.