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Finding the Third Proportional to 233,434.50 and 512,061

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Solution

The third proportional to 233,434.50 and 512,061 is: 1,123,254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,434.50 : 512,061 = 512,061 : x
  2. Step 2: Convert to fraction form
    233,434.50/512,061 = 512,061/x
  3. Step 3: Cross multiply
    233,434.50x = 512,061 × 512,061
  4. Step 4: Simplify right side
    233,434.50x = 262,206,467,721
  5. Step 5: Solve for x
    x = 262,206,467,721/233,434.50
  6. Step 6: Final answer
    x = 1,123,254.99

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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.