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Finding the Third Proportional to 598,461.75 and 898,310.25

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Solution

The third proportional to 598,461.75 and 898,310.25 is: 1,348,392.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,461.75 : 898,310.25 = 898,310.25 : x
  2. Step 2: Convert to fraction form
    598,461.75/898,310.25 = 898,310.25/x
  3. Step 3: Cross multiply
    598,461.75x = 898,310.25 × 898,310.25
  4. Step 4: Simplify right side
    598,461.75x = 806,961,305,255.06
  5. Step 5: Solve for x
    x = 806,961,305,255.06/598,461.75
  6. Step 6: Final answer
    x = 1,348,392.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.