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Finding the Third Proportional to 233,417 and 512,028

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Solution

The third proportional to 233,417 and 512,028 is: 1,123,194.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,417 : 512,028 = 512,028 : x
  2. Step 2: Convert to fraction form
    233,417/512,028 = 512,028/x
  3. Step 3: Cross multiply
    233,417x = 512,028 × 512,028
  4. Step 4: Simplify right side
    233,417x = 262,172,672,784
  5. Step 5: Solve for x
    x = 262,172,672,784/233,417
  6. Step 6: Final answer
    x = 1,123,194.42

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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.