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Finding the Third Proportional to 385,578 and 576,098

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Solution

The third proportional to 385,578 and 576,098 is: 860,756.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,578 : 576,098 = 576,098 : x
  2. Step 2: Convert to fraction form
    385,578/576,098 = 576,098/x
  3. Step 3: Cross multiply
    385,578x = 576,098 × 576,098
  4. Step 4: Simplify right side
    385,578x = 331,888,905,604
  5. Step 5: Solve for x
    x = 331,888,905,604/385,578
  6. Step 6: Final answer
    x = 860,756.85

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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.