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Finding the Third Proportional to 385,018.50 and 927,553.50

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Solution

The third proportional to 385,018.50 and 927,553.50 is: 2,234,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,018.50 : 927,553.50 = 927,553.50 : x
  2. Step 2: Convert to fraction form
    385,018.50/927,553.50 = 927,553.50/x
  3. Step 3: Cross multiply
    385,018.50x = 927,553.50 × 927,553.50
  4. Step 4: Simplify right side
    385,018.50x = 860,355,495,362.25
  5. Step 5: Solve for x
    x = 860,355,495,362.25/385,018.50
  6. Step 6: Final answer
    x = 2,234,582.22

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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.