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Finding the Third Proportional to 262,070.44 and 566,984.81

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Solution

The third proportional to 262,070.44 and 566,984.81 is: 1,226,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,070.44 : 566,984.81 = 566,984.81 : x
  2. Step 2: Convert to fraction form
    262,070.44/566,984.81 = 566,984.81/x
  3. Step 3: Cross multiply
    262,070.44x = 566,984.81 × 566,984.81
  4. Step 4: Simplify right side
    262,070.44x = 321,471,777,605.66
  5. Step 5: Solve for x
    x = 321,471,777,605.66/262,070.44
  6. Step 6: Final answer
    x = 1,226,661.74

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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.