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Finding the Third Proportional to 589,858.50 and 887,704.50

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Solution

The third proportional to 589,858.50 and 887,704.50 is: 1,335,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,858.50 : 887,704.50 = 887,704.50 : x
  2. Step 2: Convert to fraction form
    589,858.50/887,704.50 = 887,704.50/x
  3. Step 3: Cross multiply
    589,858.50x = 887,704.50 × 887,704.50
  4. Step 4: Simplify right side
    589,858.50x = 788,019,279,320.25
  5. Step 5: Solve for x
    x = 788,019,279,320.25/589,858.50
  6. Step 6: Final answer
    x = 1,335,946.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.