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Finding the Third Proportional to 373,398 and 589,257

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Solution

The third proportional to 373,398 and 589,257 is: 929,902.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,398 : 589,257 = 589,257 : x
  2. Step 2: Convert to fraction form
    373,398/589,257 = 589,257/x
  3. Step 3: Cross multiply
    373,398x = 589,257 × 589,257
  4. Step 4: Simplify right side
    373,398x = 347,223,812,049
  5. Step 5: Solve for x
    x = 347,223,812,049/373,398
  6. Step 6: Final answer
    x = 929,902.71

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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.