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Finding the Third Proportional to 385,275 and 511,215

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Solution

The third proportional to 385,275 and 511,215 is: 678,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,275 : 511,215 = 511,215 : x
  2. Step 2: Convert to fraction form
    385,275/511,215 = 511,215/x
  3. Step 3: Cross multiply
    385,275x = 511,215 × 511,215
  4. Step 4: Simplify right side
    385,275x = 261,340,776,225
  5. Step 5: Solve for x
    x = 261,340,776,225/385,275
  6. Step 6: Final answer
    x = 678,322.69

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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.