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Finding the Third Proportional to 395,856 and 597,168

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Solution

The third proportional to 395,856 and 597,168 is: 900,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,856 : 597,168 = 597,168 : x
  2. Step 2: Convert to fraction form
    395,856/597,168 = 597,168/x
  3. Step 3: Cross multiply
    395,856x = 597,168 × 597,168
  4. Step 4: Simplify right side
    395,856x = 356,609,620,224
  5. Step 5: Solve for x
    x = 356,609,620,224/395,856
  6. Step 6: Final answer
    x = 900,856.93

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