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Finding the Third Proportional to 264,564 and 376,999

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Solution

The third proportional to 264,564 and 376,999 is: 537,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,564 : 376,999 = 376,999 : x
  2. Step 2: Convert to fraction form
    264,564/376,999 = 376,999/x
  3. Step 3: Cross multiply
    264,564x = 376,999 × 376,999
  4. Step 4: Simplify right side
    264,564x = 142,128,246,001
  5. Step 5: Solve for x
    x = 142,128,246,001/264,564
  6. Step 6: Final answer
    x = 537,216.88

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.