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Finding the Third Proportional to 309,063 and 467,925

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Solution

The third proportional to 309,063 and 467,925 is: 708,443.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,063 : 467,925 = 467,925 : x
  2. Step 2: Convert to fraction form
    309,063/467,925 = 467,925/x
  3. Step 3: Cross multiply
    309,063x = 467,925 × 467,925
  4. Step 4: Simplify right side
    309,063x = 218,953,805,625
  5. Step 5: Solve for x
    x = 218,953,805,625/309,063
  6. Step 6: Final answer
    x = 708,443.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.