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Finding the Third Proportional to 412,989 and 581,588.25

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Solution

The third proportional to 412,989 and 581,588.25 is: 819,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,989 : 581,588.25 = 581,588.25 : x
  2. Step 2: Convert to fraction form
    412,989/581,588.25 = 581,588.25/x
  3. Step 3: Cross multiply
    412,989x = 581,588.25 × 581,588.25
  4. Step 4: Simplify right side
    412,989x = 338,244,892,538.06
  5. Step 5: Solve for x
    x = 338,244,892,538.06/412,989
  6. Step 6: Final answer
    x = 819,016.71

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.