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Finding the Third Proportional to 219,615.75 and 458,293.50

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Solution

The third proportional to 219,615.75 and 458,293.50 is: 956,365.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,615.75 : 458,293.50 = 458,293.50 : x
  2. Step 2: Convert to fraction form
    219,615.75/458,293.50 = 458,293.50/x
  3. Step 3: Cross multiply
    219,615.75x = 458,293.50 × 458,293.50
  4. Step 4: Simplify right side
    219,615.75x = 210,032,932,142.25
  5. Step 5: Solve for x
    x = 210,032,932,142.25/219,615.75
  6. Step 6: Final answer
    x = 956,365.53

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.