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Finding the Third Proportional to 286,325 and 453,308

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Solution

The third proportional to 286,325 and 453,308 is: 717,674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,325 : 453,308 = 453,308 : x
  2. Step 2: Convert to fraction form
    286,325/453,308 = 453,308/x
  3. Step 3: Cross multiply
    286,325x = 453,308 × 453,308
  4. Step 4: Simplify right side
    286,325x = 205,488,142,864
  5. Step 5: Solve for x
    x = 205,488,142,864/286,325
  6. Step 6: Final answer
    x = 717,674.47

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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.