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Finding the Third Proportional to 430,843.50 and 603,747.75

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Solution

The third proportional to 430,843.50 and 603,747.75 is: 846,041.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,843.50 : 603,747.75 = 603,747.75 : x
  2. Step 2: Convert to fraction form
    430,843.50/603,747.75 = 603,747.75/x
  3. Step 3: Cross multiply
    430,843.50x = 603,747.75 × 603,747.75
  4. Step 4: Simplify right side
    430,843.50x = 364,511,345,630.06
  5. Step 5: Solve for x
    x = 364,511,345,630.06/430,843.50
  6. Step 6: Final answer
    x = 846,041.19

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.