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Finding the Third Proportional to 230,973 and 493,867.50

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Solution

The third proportional to 230,973 and 493,867.50 is: 1,055,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,973 : 493,867.50 = 493,867.50 : x
  2. Step 2: Convert to fraction form
    230,973/493,867.50 = 493,867.50/x
  3. Step 3: Cross multiply
    230,973x = 493,867.50 × 493,867.50
  4. Step 4: Simplify right side
    230,973x = 243,905,107,556.25
  5. Step 5: Solve for x
    x = 243,905,107,556.25/230,973
  6. Step 6: Final answer
    x = 1,055,989.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.