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Finding the Third Proportional to 362,090.88 and 547,796.04

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Solution

The third proportional to 362,090.88 and 547,796.04 is: 828,743.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,090.88 : 547,796.04 = 547,796.04 : x
  2. Step 2: Convert to fraction form
    362,090.88/547,796.04 = 547,796.04/x
  3. Step 3: Cross multiply
    362,090.88x = 547,796.04 × 547,796.04
  4. Step 4: Simplify right side
    362,090.88x = 300,080,500,412.56
  5. Step 5: Solve for x
    x = 300,080,500,412.56/362,090.88
  6. Step 6: Final answer
    x = 828,743.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.