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Finding the Third Proportional to 345,090.38 and 533,025.56

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Solution

The third proportional to 345,090.38 and 533,025.56 is: 823,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,090.38 : 533,025.56 = 533,025.56 : x
  2. Step 2: Convert to fraction form
    345,090.38/533,025.56 = 533,025.56/x
  3. Step 3: Cross multiply
    345,090.38x = 533,025.56 × 533,025.56
  4. Step 4: Simplify right side
    345,090.38x = 284,116,250,278.44
  5. Step 5: Solve for x
    x = 284,116,250,278.44/345,090.38
  6. Step 6: Final answer
    x = 823,309.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.