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Finding the Third Proportional to 385,575.50 and 576,095.25

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Solution

The third proportional to 385,575.50 and 576,095.25 is: 860,754.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,575.50 : 576,095.25 = 576,095.25 : x
  2. Step 2: Convert to fraction form
    385,575.50/576,095.25 = 576,095.25/x
  3. Step 3: Cross multiply
    385,575.50x = 576,095.25 × 576,095.25
  4. Step 4: Simplify right side
    385,575.50x = 331,885,737,072.56
  5. Step 5: Solve for x
    x = 331,885,737,072.56/385,575.50
  6. Step 6: Final answer
    x = 860,754.22

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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.