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Finding the Third Proportional to 266,525.44 and 589,123.13

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Solution

The third proportional to 266,525.44 and 589,123.13 is: 1,302,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,525.44 : 589,123.13 = 589,123.13 : x
  2. Step 2: Convert to fraction form
    266,525.44/589,123.13 = 589,123.13/x
  3. Step 3: Cross multiply
    266,525.44x = 589,123.13 × 589,123.13
  4. Step 4: Simplify right side
    266,525.44x = 347,066,056,409.77
  5. Step 5: Solve for x
    x = 347,066,056,409.77/266,525.44
  6. Step 6: Final answer
    x = 1,302,187.36

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.