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Finding the Third Proportional to 385,566 and 576,081

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Solution

The third proportional to 385,566 and 576,081 is: 860,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,566 : 576,081 = 576,081 : x
  2. Step 2: Convert to fraction form
    385,566/576,081 = 576,081/x
  3. Step 3: Cross multiply
    385,566x = 576,081 × 576,081
  4. Step 4: Simplify right side
    385,566x = 331,869,318,561
  5. Step 5: Solve for x
    x = 331,869,318,561/385,566
  6. Step 6: Final answer
    x = 860,732.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.