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Finding the Third Proportional to 264,424 and 402,836

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Solution

The third proportional to 264,424 and 402,836 is: 613,699.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,424 : 402,836 = 402,836 : x
  2. Step 2: Convert to fraction form
    264,424/402,836 = 402,836/x
  3. Step 3: Cross multiply
    264,424x = 402,836 × 402,836
  4. Step 4: Simplify right side
    264,424x = 162,276,842,896
  5. Step 5: Solve for x
    x = 162,276,842,896/264,424
  6. Step 6: Final answer
    x = 613,699.37

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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.