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Finding the Third Proportional to 286,182 and 453,042

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Solution

The third proportional to 286,182 and 453,042 is: 717,190.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,182 : 453,042 = 453,042 : x
  2. Step 2: Convert to fraction form
    286,182/453,042 = 453,042/x
  3. Step 3: Cross multiply
    286,182x = 453,042 × 453,042
  4. Step 4: Simplify right side
    286,182x = 205,247,053,764
  5. Step 5: Solve for x
    x = 205,247,053,764/286,182
  6. Step 6: Final answer
    x = 717,190.65

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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.