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Finding the Third Proportional to 233,387 and 512,158

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Solution

The third proportional to 233,387 and 512,158 is: 1,123,909.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,387 : 512,158 = 512,158 : x
  2. Step 2: Convert to fraction form
    233,387/512,158 = 512,158/x
  3. Step 3: Cross multiply
    233,387x = 512,158 × 512,158
  4. Step 4: Simplify right side
    233,387x = 262,305,816,964
  5. Step 5: Solve for x
    x = 262,305,816,964/233,387
  6. Step 6: Final answer
    x = 1,123,909.29

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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.