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Finding the Third Proportional to 385,262 and 511,336

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Solution

The third proportional to 385,262 and 511,336 is: 678,666.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,262 : 511,336 = 511,336 : x
  2. Step 2: Convert to fraction form
    385,262/511,336 = 511,336/x
  3. Step 3: Cross multiply
    385,262x = 511,336 × 511,336
  4. Step 4: Simplify right side
    385,262x = 261,464,504,896
  5. Step 5: Solve for x
    x = 261,464,504,896/385,262
  6. Step 6: Final answer
    x = 678,666.74

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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.