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Finding the Third Proportional to 430,841.25 and 603,744.75

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Solution

The third proportional to 430,841.25 and 603,744.75 is: 846,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,841.25 : 603,744.75 = 603,744.75 : x
  2. Step 2: Convert to fraction form
    430,841.25/603,744.75 = 603,744.75/x
  3. Step 3: Cross multiply
    430,841.25x = 603,744.75 × 603,744.75
  4. Step 4: Simplify right side
    430,841.25x = 364,507,723,152.56
  5. Step 5: Solve for x
    x = 364,507,723,152.56/430,841.25
  6. Step 6: Final answer
    x = 846,037.20

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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.