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Finding the Third Proportional to 451,678.50 and 1,003,000.50

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Solution

The third proportional to 451,678.50 and 1,003,000.50 is: 2,227,270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,678.50 : 1,003,000.50 = 1,003,000.50 : x
  2. Step 2: Convert to fraction form
    451,678.50/1,003,000.50 = 1,003,000.50/x
  3. Step 3: Cross multiply
    451,678.50x = 1,003,000.50 × 1,003,000.50
  4. Step 4: Simplify right side
    451,678.50x = 1,006,010,003,000.25
  5. Step 5: Solve for x
    x = 1,006,010,003,000.25/451,678.50
  6. Step 6: Final answer
    x = 2,227,270.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.