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Finding the Third Proportional to 391,172.50 and 838,485.75

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Solution

The third proportional to 391,172.50 and 838,485.75 is: 1,797,310.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,172.50 : 838,485.75 = 838,485.75 : x
  2. Step 2: Convert to fraction form
    391,172.50/838,485.75 = 838,485.75/x
  3. Step 3: Cross multiply
    391,172.50x = 838,485.75 × 838,485.75
  4. Step 4: Simplify right side
    391,172.50x = 703,058,352,953.06
  5. Step 5: Solve for x
    x = 703,058,352,953.06/391,172.50
  6. Step 6: Final answer
    x = 1,797,310.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.