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Finding the Third Proportional to 598,341.94 and 897,933.09

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Solution

The third proportional to 598,341.94 and 897,933.09 is: 1,347,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,341.94 : 897,933.09 = 897,933.09 : x
  2. Step 2: Convert to fraction form
    598,341.94/897,933.09 = 897,933.09/x
  3. Step 3: Cross multiply
    598,341.94x = 897,933.09 × 897,933.09
  4. Step 4: Simplify right side
    598,341.94x = 806,283,840,851.45
  5. Step 5: Solve for x
    x = 806,283,840,851.45/598,341.94
  6. Step 6: Final answer
    x = 1,347,530.22

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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.