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Finding the Third Proportional to 385,265 and 511,203

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Solution

The third proportional to 385,265 and 511,203 is: 678,308.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,265 : 511,203 = 511,203 : x
  2. Step 2: Convert to fraction form
    385,265/511,203 = 511,203/x
  3. Step 3: Cross multiply
    385,265x = 511,203 × 511,203
  4. Step 4: Simplify right side
    385,265x = 261,328,507,209
  5. Step 5: Solve for x
    x = 261,328,507,209/385,265
  6. Step 6: Final answer
    x = 678,308.46

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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.