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Finding the Third Proportional to 372,334 and 589,848

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Solution

The third proportional to 372,334 and 589,848 is: 934,431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,334 : 589,848 = 589,848 : x
  2. Step 2: Convert to fraction form
    372,334/589,848 = 589,848/x
  3. Step 3: Cross multiply
    372,334x = 589,848 × 589,848
  4. Step 4: Simplify right side
    372,334x = 347,920,663,104
  5. Step 5: Solve for x
    x = 347,920,663,104/372,334
  6. Step 6: Final answer
    x = 934,431.62

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.