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Finding the Third Proportional to 240,612.75 and 522,204.75

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Solution

The third proportional to 240,612.75 and 522,204.75 is: 1,133,347.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,612.75 : 522,204.75 = 522,204.75 : x
  2. Step 2: Convert to fraction form
    240,612.75/522,204.75 = 522,204.75/x
  3. Step 3: Cross multiply
    240,612.75x = 522,204.75 × 522,204.75
  4. Step 4: Simplify right side
    240,612.75x = 272,697,800,922.56
  5. Step 5: Solve for x
    x = 272,697,800,922.56/240,612.75
  6. Step 6: Final answer
    x = 1,133,347.26

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.