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Finding the Third Proportional to 432,186.75 and 943,105.50

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Solution

The third proportional to 432,186.75 and 943,105.50 is: 2,058,017.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,186.75 : 943,105.50 = 943,105.50 : x
  2. Step 2: Convert to fraction form
    432,186.75/943,105.50 = 943,105.50/x
  3. Step 3: Cross multiply
    432,186.75x = 943,105.50 × 943,105.50
  4. Step 4: Simplify right side
    432,186.75x = 889,447,984,130.25
  5. Step 5: Solve for x
    x = 889,447,984,130.25/432,186.75
  6. Step 6: Final answer
    x = 2,058,017.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.