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Finding the Third Proportional to 517,234.50 and 804,648

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Solution

The third proportional to 517,234.50 and 804,648 is: 1,251,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,234.50 : 804,648 = 804,648 : x
  2. Step 2: Convert to fraction form
    517,234.50/804,648 = 804,648/x
  3. Step 3: Cross multiply
    517,234.50x = 804,648 × 804,648
  4. Step 4: Simplify right side
    517,234.50x = 647,458,403,904
  5. Step 5: Solve for x
    x = 647,458,403,904/517,234.50
  6. Step 6: Final answer
    x = 1,251,769.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.