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Finding the Third Proportional to 262,080.56 and 567,005.06

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Solution

The third proportional to 262,080.56 and 567,005.06 is: 1,226,701.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,080.56 : 567,005.06 = 567,005.06 : x
  2. Step 2: Convert to fraction form
    262,080.56/567,005.06 = 567,005.06/x
  3. Step 3: Cross multiply
    262,080.56x = 567,005.06 × 567,005.06
  4. Step 4: Simplify right side
    262,080.56x = 321,494,740,900.63
  5. Step 5: Solve for x
    x = 321,494,740,900.63/262,080.56
  6. Step 6: Final answer
    x = 1,226,701.96

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.