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Finding the Third Proportional to 385,284 and 511,233

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Solution

The third proportional to 385,284 and 511,233 is: 678,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,284 : 511,233 = 511,233 : x
  2. Step 2: Convert to fraction form
    385,284/511,233 = 511,233/x
  3. Step 3: Cross multiply
    385,284x = 511,233 × 511,233
  4. Step 4: Simplify right side
    385,284x = 261,359,180,289
  5. Step 5: Solve for x
    x = 261,359,180,289/385,284
  6. Step 6: Final answer
    x = 678,354.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.