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Finding the Third Proportional to 264,807.56 and 583,059.94

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Solution

The third proportional to 264,807.56 and 583,059.94 is: 1,283,796.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,807.56 : 583,059.94 = 583,059.94 : x
  2. Step 2: Convert to fraction form
    264,807.56/583,059.94 = 583,059.94/x
  3. Step 3: Cross multiply
    264,807.56x = 583,059.94 × 583,059.94
  4. Step 4: Simplify right side
    264,807.56x = 339,958,890,717.50
  5. Step 5: Solve for x
    x = 339,958,890,717.50/264,807.56
  6. Step 6: Final answer
    x = 1,283,796.00

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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.