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Finding the Third Proportional to 598,738.50 and 904,302

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Solution

The third proportional to 598,738.50 and 904,302 is: 1,365,808.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,738.50 : 904,302 = 904,302 : x
  2. Step 2: Convert to fraction form
    598,738.50/904,302 = 904,302/x
  3. Step 3: Cross multiply
    598,738.50x = 904,302 × 904,302
  4. Step 4: Simplify right side
    598,738.50x = 817,762,107,204
  5. Step 5: Solve for x
    x = 817,762,107,204/598,738.50
  6. Step 6: Final answer
    x = 1,365,808.46

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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.