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Finding the Third Proportional to 264,427 and 402,837

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Solution

The third proportional to 264,427 and 402,837 is: 613,695.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,427 : 402,837 = 402,837 : x
  2. Step 2: Convert to fraction form
    264,427/402,837 = 402,837/x
  3. Step 3: Cross multiply
    264,427x = 402,837 × 402,837
  4. Step 4: Simplify right side
    264,427x = 162,277,648,569
  5. Step 5: Solve for x
    x = 162,277,648,569/264,427
  6. Step 6: Final answer
    x = 613,695.46

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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.