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Finding the Third Proportional to 290,857.50 and 446,917.50

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Solution

The third proportional to 290,857.50 and 446,917.50 is: 686,711.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,857.50 : 446,917.50 = 446,917.50 : x
  2. Step 2: Convert to fraction form
    290,857.50/446,917.50 = 446,917.50/x
  3. Step 3: Cross multiply
    290,857.50x = 446,917.50 × 446,917.50
  4. Step 4: Simplify right side
    290,857.50x = 199,735,251,806.25
  5. Step 5: Solve for x
    x = 199,735,251,806.25/290,857.50
  6. Step 6: Final answer
    x = 686,711.71

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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.