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Finding the Third Proportional to 538,462.75 and 1,174,719.50

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Solution

The third proportional to 538,462.75 and 1,174,719.50 is: 2,562,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,462.75 : 1,174,719.50 = 1,174,719.50 : x
  2. Step 2: Convert to fraction form
    538,462.75/1,174,719.50 = 1,174,719.50/x
  3. Step 3: Cross multiply
    538,462.75x = 1,174,719.50 × 1,174,719.50
  4. Step 4: Simplify right side
    538,462.75x = 1,379,965,903,680.25
  5. Step 5: Solve for x
    x = 1,379,965,903,680.25/538,462.75
  6. Step 6: Final answer
    x = 2,562,788.05

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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.