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Finding the Third Proportional to 269,889.75 and 577,149.75

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Solution

The third proportional to 269,889.75 and 577,149.75 is: 1,234,214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,889.75 : 577,149.75 = 577,149.75 : x
  2. Step 2: Convert to fraction form
    269,889.75/577,149.75 = 577,149.75/x
  3. Step 3: Cross multiply
    269,889.75x = 577,149.75 × 577,149.75
  4. Step 4: Simplify right side
    269,889.75x = 333,101,833,925.06
  5. Step 5: Solve for x
    x = 333,101,833,925.06/269,889.75
  6. Step 6: Final answer
    x = 1,234,214.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.