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Finding the Third Proportional to 233,421 and 512,229

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Solution

The third proportional to 233,421 and 512,229 is: 1,124,057.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,421 : 512,229 = 512,229 : x
  2. Step 2: Convert to fraction form
    233,421/512,229 = 512,229/x
  3. Step 3: Cross multiply
    233,421x = 512,229 × 512,229
  4. Step 4: Simplify right side
    233,421x = 262,378,548,441
  5. Step 5: Solve for x
    x = 262,378,548,441/233,421
  6. Step 6: Final answer
    x = 1,124,057.17

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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.