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Finding the Third Proportional to 400,562.72 and 535,080.30

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Solution

The third proportional to 400,562.72 and 535,080.30 is: 714,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,562.72 : 535,080.30 = 535,080.30 : x
  2. Step 2: Convert to fraction form
    400,562.72/535,080.30 = 535,080.30/x
  3. Step 3: Cross multiply
    400,562.72x = 535,080.30 × 535,080.30
  4. Step 4: Simplify right side
    400,562.72x = 286,310,932,464.47
  5. Step 5: Solve for x
    x = 286,310,932,464.47/400,562.72
  6. Step 6: Final answer
    x = 714,771.79

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.