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Finding the Third Proportional to 385,576 and 576,092

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Solution

The third proportional to 385,576 and 576,092 is: 860,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,576 : 576,092 = 576,092 : x
  2. Step 2: Convert to fraction form
    385,576/576,092 = 576,092/x
  3. Step 3: Cross multiply
    385,576x = 576,092 × 576,092
  4. Step 4: Simplify right side
    385,576x = 331,881,992,464
  5. Step 5: Solve for x
    x = 331,881,992,464/385,576
  6. Step 6: Final answer
    x = 860,743.39

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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.