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Finding the Third Proportional to 589,404.75 and 887,546.25

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Solution

The third proportional to 589,404.75 and 887,546.25 is: 1,336,498.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,404.75 : 887,546.25 = 887,546.25 : x
  2. Step 2: Convert to fraction form
    589,404.75/887,546.25 = 887,546.25/x
  3. Step 3: Cross multiply
    589,404.75x = 887,546.25 × 887,546.25
  4. Step 4: Simplify right side
    589,404.75x = 787,738,345,889.06
  5. Step 5: Solve for x
    x = 787,738,345,889.06/589,404.75
  6. Step 6: Final answer
    x = 1,336,498.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.