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Finding the Third Proportional to 233,422 and 512,037

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Solution

The third proportional to 233,422 and 512,037 is: 1,123,209.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,422 : 512,037 = 512,037 : x
  2. Step 2: Convert to fraction form
    233,422/512,037 = 512,037/x
  3. Step 3: Cross multiply
    233,422x = 512,037 × 512,037
  4. Step 4: Simplify right side
    233,422x = 262,181,889,369
  5. Step 5: Solve for x
    x = 262,181,889,369/233,422
  6. Step 6: Final answer
    x = 1,123,209.85

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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.