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Finding the Third Proportional to 590,901.75 and 886,352.25

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Solution

The third proportional to 590,901.75 and 886,352.25 is: 1,329,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,901.75 : 886,352.25 = 886,352.25 : x
  2. Step 2: Convert to fraction form
    590,901.75/886,352.25 = 886,352.25/x
  3. Step 3: Cross multiply
    590,901.75x = 886,352.25 × 886,352.25
  4. Step 4: Simplify right side
    590,901.75x = 785,620,311,080.06
  5. Step 5: Solve for x
    x = 785,620,311,080.06/590,901.75
  6. Step 6: Final answer
    x = 1,329,527.81

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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.