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Finding the Third Proportional to 288,130.50 and 422,853.75

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Solution

The third proportional to 288,130.50 and 422,853.75 is: 620,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,130.50 : 422,853.75 = 422,853.75 : x
  2. Step 2: Convert to fraction form
    288,130.50/422,853.75 = 422,853.75/x
  3. Step 3: Cross multiply
    288,130.50x = 422,853.75 × 422,853.75
  4. Step 4: Simplify right side
    288,130.50x = 178,805,293,889.06
  5. Step 5: Solve for x
    x = 178,805,293,889.06/288,130.50
  6. Step 6: Final answer
    x = 620,570.52

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.