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Finding the Third Proportional to 385,006.50 and 927,524.25

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Solution

The third proportional to 385,006.50 and 927,524.25 is: 2,234,510.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,006.50 : 927,524.25 = 927,524.25 : x
  2. Step 2: Convert to fraction form
    385,006.50/927,524.25 = 927,524.25/x
  3. Step 3: Cross multiply
    385,006.50x = 927,524.25 × 927,524.25
  4. Step 4: Simplify right side
    385,006.50x = 860,301,234,338.06
  5. Step 5: Solve for x
    x = 860,301,234,338.06/385,006.50
  6. Step 6: Final answer
    x = 2,234,510.94

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.