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Finding the Third Proportional to 262,542.94 and 405,475.03

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Solution

The third proportional to 262,542.94 and 405,475.03 is: 626,221.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,542.94 : 405,475.03 = 405,475.03 : x
  2. Step 2: Convert to fraction form
    262,542.94/405,475.03 = 405,475.03/x
  3. Step 3: Cross multiply
    262,542.94x = 405,475.03 × 405,475.03
  4. Step 4: Simplify right side
    262,542.94x = 164,410,000,967.19
  5. Step 5: Solve for x
    x = 164,410,000,967.19/262,542.94
  6. Step 6: Final answer
    x = 626,221.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.