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Finding the Third Proportional to 264,473.44 and 581,428.13

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Solution

The third proportional to 264,473.44 and 581,428.13 is: 1,278,232.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,473.44 : 581,428.13 = 581,428.13 : x
  2. Step 2: Convert to fraction form
    264,473.44/581,428.13 = 581,428.13/x
  3. Step 3: Cross multiply
    264,473.44x = 581,428.13 × 581,428.13
  4. Step 4: Simplify right side
    264,473.44x = 338,058,664,541.02
  5. Step 5: Solve for x
    x = 338,058,664,541.02/264,473.44
  6. Step 6: Final answer
    x = 1,278,232.96

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.