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Finding the Third Proportional to 433,436.06 and 622,269.84

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Solution

The third proportional to 433,436.06 and 622,269.84 is: 893,372.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,436.06 : 622,269.84 = 622,269.84 : x
  2. Step 2: Convert to fraction form
    433,436.06/622,269.84 = 622,269.84/x
  3. Step 3: Cross multiply
    433,436.06x = 622,269.84 × 622,269.84
  4. Step 4: Simplify right side
    433,436.06x = 387,219,758,440.65
  5. Step 5: Solve for x
    x = 387,219,758,440.65/433,436.06
  6. Step 6: Final answer
    x = 893,372.27

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.