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Finding the Third Proportional to 753,190.31 and 1,163,709.28

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Solution

The third proportional to 753,190.31 and 1,163,709.28 is: 1,797,977.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,190.31 : 1,163,709.28 = 1,163,709.28 : x
  2. Step 2: Convert to fraction form
    753,190.31/1,163,709.28 = 1,163,709.28/x
  3. Step 3: Cross multiply
    753,190.31x = 1,163,709.28 × 1,163,709.28
  4. Step 4: Simplify right side
    753,190.31x = 1,354,219,291,267.39
  5. Step 5: Solve for x
    x = 1,354,219,291,267.39/753,190.31
  6. Step 6: Final answer
    x = 1,797,977.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.