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Finding the Third Proportional to 264,432 and 402,847

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Solution

The third proportional to 264,432 and 402,847 is: 613,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,432 : 402,847 = 402,847 : x
  2. Step 2: Convert to fraction form
    264,432/402,847 = 402,847/x
  3. Step 3: Cross multiply
    264,432x = 402,847 × 402,847
  4. Step 4: Simplify right side
    264,432x = 162,285,705,409
  5. Step 5: Solve for x
    x = 162,285,705,409/264,432
  6. Step 6: Final answer
    x = 613,714.32

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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.