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Finding the Third Proportional to 598,512 and 903,978

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Solution

The third proportional to 598,512 and 903,978 is: 1,365,346.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,512 : 903,978 = 903,978 : x
  2. Step 2: Convert to fraction form
    598,512/903,978 = 903,978/x
  3. Step 3: Cross multiply
    598,512x = 903,978 × 903,978
  4. Step 4: Simplify right side
    598,512x = 817,176,224,484
  5. Step 5: Solve for x
    x = 817,176,224,484/598,512
  6. Step 6: Final answer
    x = 1,365,346.43

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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.