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Finding the Third Proportional to 281,224.50 and 607,419.75

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Solution

The third proportional to 281,224.50 and 607,419.75 is: 1,311,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,224.50 : 607,419.75 = 607,419.75 : x
  2. Step 2: Convert to fraction form
    281,224.50/607,419.75 = 607,419.75/x
  3. Step 3: Cross multiply
    281,224.50x = 607,419.75 × 607,419.75
  4. Step 4: Simplify right side
    281,224.50x = 368,958,752,690.06
  5. Step 5: Solve for x
    x = 368,958,752,690.06/281,224.50
  6. Step 6: Final answer
    x = 1,311,972.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.