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Finding the Third Proportional to 233,580 and 512,376

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Solution

The third proportional to 233,580 and 512,376 is: 1,123,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,580 : 512,376 = 512,376 : x
  2. Step 2: Convert to fraction form
    233,580/512,376 = 512,376/x
  3. Step 3: Cross multiply
    233,580x = 512,376 × 512,376
  4. Step 4: Simplify right side
    233,580x = 262,529,165,376
  5. Step 5: Solve for x
    x = 262,529,165,376/233,580
  6. Step 6: Final answer
    x = 1,123,936.83

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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.