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Finding the Third Proportional to 264,422 and 402,833

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Solution

The third proportional to 264,422 and 402,833 is: 613,694.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,422 : 402,833 = 402,833 : x
  2. Step 2: Convert to fraction form
    264,422/402,833 = 402,833/x
  3. Step 3: Cross multiply
    264,422x = 402,833 × 402,833
  4. Step 4: Simplify right side
    264,422x = 162,274,425,889
  5. Step 5: Solve for x
    x = 162,274,425,889/264,422
  6. Step 6: Final answer
    x = 613,694.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.