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Finding the Third Proportional to 269,365.50 and 589,214.25

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Solution

The third proportional to 269,365.50 and 589,214.25 is: 1,288,856.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,365.50 : 589,214.25 = 589,214.25 : x
  2. Step 2: Convert to fraction form
    269,365.50/589,214.25 = 589,214.25/x
  3. Step 3: Cross multiply
    269,365.50x = 589,214.25 × 589,214.25
  4. Step 4: Simplify right side
    269,365.50x = 347,173,432,403.06
  5. Step 5: Solve for x
    x = 347,173,432,403.06/269,365.50
  6. Step 6: Final answer
    x = 1,288,856.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.