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Finding the Third Proportional to 773,995.50 and 1,138,242.38

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Solution

The third proportional to 773,995.50 and 1,138,242.38 is: 1,673,905.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,995.50 : 1,138,242.38 = 1,138,242.38 : x
  2. Step 2: Convert to fraction form
    773,995.50/1,138,242.38 = 1,138,242.38/x
  3. Step 3: Cross multiply
    773,995.50x = 1,138,242.38 × 1,138,242.38
  4. Step 4: Simplify right side
    773,995.50x = 1,295,595,704,245.64
  5. Step 5: Solve for x
    x = 1,295,595,704,245.64/773,995.50
  6. Step 6: Final answer
    x = 1,673,905.99

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.