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Finding the Third Proportional to 286,179.75 and 453,053.25

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Solution

The third proportional to 286,179.75 and 453,053.25 is: 717,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,179.75 : 453,053.25 = 453,053.25 : x
  2. Step 2: Convert to fraction form
    286,179.75/453,053.25 = 453,053.25/x
  3. Step 3: Cross multiply
    286,179.75x = 453,053.25 × 453,053.25
  4. Step 4: Simplify right side
    286,179.75x = 205,257,247,335.56
  5. Step 5: Solve for x
    x = 205,257,247,335.56/286,179.75
  6. Step 6: Final answer
    x = 717,231.91

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.