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Finding the Third Proportional to 233,423 and 512,233

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Solution

The third proportional to 233,423 and 512,233 is: 1,124,065.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,423 : 512,233 = 512,233 : x
  2. Step 2: Convert to fraction form
    233,423/512,233 = 512,233/x
  3. Step 3: Cross multiply
    233,423x = 512,233 × 512,233
  4. Step 4: Simplify right side
    233,423x = 262,382,646,289
  5. Step 5: Solve for x
    x = 262,382,646,289/233,423
  6. Step 6: Final answer
    x = 1,124,065.09

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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.