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Finding the Third Proportional to 598,326.75 and 898,086.23

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Solution

The third proportional to 598,326.75 and 898,086.23 is: 1,348,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,326.75 : 898,086.23 = 898,086.23 : x
  2. Step 2: Convert to fraction form
    598,326.75/898,086.23 = 898,086.23/x
  3. Step 3: Cross multiply
    598,326.75x = 898,086.23 × 898,086.23
  4. Step 4: Simplify right side
    598,326.75x = 806,558,884,373.87
  5. Step 5: Solve for x
    x = 806,558,884,373.87/598,326.75
  6. Step 6: Final answer
    x = 1,348,024.11

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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.