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Finding the Third Proportional to 258,584.75 and 569,009.50

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Solution

The third proportional to 258,584.75 and 569,009.50 is: 1,252,091.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,584.75 : 569,009.50 = 569,009.50 : x
  2. Step 2: Convert to fraction form
    258,584.75/569,009.50 = 569,009.50/x
  3. Step 3: Cross multiply
    258,584.75x = 569,009.50 × 569,009.50
  4. Step 4: Simplify right side
    258,584.75x = 323,771,811,090.25
  5. Step 5: Solve for x
    x = 323,771,811,090.25/258,584.75
  6. Step 6: Final answer
    x = 1,252,091.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.