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Finding the Third Proportional to 282,575.25 and 666,924.75

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Solution

The third proportional to 282,575.25 and 666,924.75 is: 1,574,053.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,575.25 : 666,924.75 = 666,924.75 : x
  2. Step 2: Convert to fraction form
    282,575.25/666,924.75 = 666,924.75/x
  3. Step 3: Cross multiply
    282,575.25x = 666,924.75 × 666,924.75
  4. Step 4: Simplify right side
    282,575.25x = 444,788,622,162.56
  5. Step 5: Solve for x
    x = 444,788,622,162.56/282,575.25
  6. Step 6: Final answer
    x = 1,574,053.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.