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Finding the Third Proportional to 589,771.50 and 890,259

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Solution

The third proportional to 589,771.50 and 890,259 is: 1,343,844.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,771.50 : 890,259 = 890,259 : x
  2. Step 2: Convert to fraction form
    589,771.50/890,259 = 890,259/x
  3. Step 3: Cross multiply
    589,771.50x = 890,259 × 890,259
  4. Step 4: Simplify right side
    589,771.50x = 792,561,087,081
  5. Step 5: Solve for x
    x = 792,561,087,081/589,771.50
  6. Step 6: Final answer
    x = 1,343,844.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.