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Finding the Third Proportional to 385,352 and 511,452

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Solution

The third proportional to 385,352 and 511,452 is: 678,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,352 : 511,452 = 511,452 : x
  2. Step 2: Convert to fraction form
    385,352/511,452 = 511,452/x
  3. Step 3: Cross multiply
    385,352x = 511,452 × 511,452
  4. Step 4: Simplify right side
    385,352x = 261,583,148,304
  5. Step 5: Solve for x
    x = 261,583,148,304/385,352
  6. Step 6: Final answer
    x = 678,816.12

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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.