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Finding the Third Proportional to 264,296 and 402,641

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Solution

The third proportional to 264,296 and 402,641 is: 613,402.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,296 : 402,641 = 402,641 : x
  2. Step 2: Convert to fraction form
    264,296/402,641 = 402,641/x
  3. Step 3: Cross multiply
    264,296x = 402,641 × 402,641
  4. Step 4: Simplify right side
    264,296x = 162,119,774,881
  5. Step 5: Solve for x
    x = 162,119,774,881/264,296
  6. Step 6: Final answer
    x = 613,402.30

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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.