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Finding the Third Proportional to 385,269 and 511,209

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Solution

The third proportional to 385,269 and 511,209 is: 678,317.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,269 : 511,209 = 511,209 : x
  2. Step 2: Convert to fraction form
    385,269/511,209 = 511,209/x
  3. Step 3: Cross multiply
    385,269x = 511,209 × 511,209
  4. Step 4: Simplify right side
    385,269x = 261,334,641,681
  5. Step 5: Solve for x
    x = 261,334,641,681/385,269
  6. Step 6: Final answer
    x = 678,317.34

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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.