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Finding the Third Proportional to 520,571.18 and 1,160,773.03

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Solution

The third proportional to 520,571.18 and 1,160,773.03 is: 2,588,299.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,571.18 : 1,160,773.03 = 1,160,773.03 : x
  2. Step 2: Convert to fraction form
    520,571.18/1,160,773.03 = 1,160,773.03/x
  3. Step 3: Cross multiply
    520,571.18x = 1,160,773.03 × 1,160,773.03
  4. Step 4: Simplify right side
    520,571.18x = 1,347,394,030,077.31
  5. Step 5: Solve for x
    x = 1,347,394,030,077.31/520,571.18
  6. Step 6: Final answer
    x = 2,588,299.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.