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Finding the Third Proportional to 608,532.75 and 864,958.50

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Solution

The third proportional to 608,532.75 and 864,958.50 is: 1,229,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,532.75 : 864,958.50 = 864,958.50 : x
  2. Step 2: Convert to fraction form
    608,532.75/864,958.50 = 864,958.50/x
  3. Step 3: Cross multiply
    608,532.75x = 864,958.50 × 864,958.50
  4. Step 4: Simplify right side
    608,532.75x = 748,153,206,722.25
  5. Step 5: Solve for x
    x = 748,153,206,722.25/608,532.75
  6. Step 6: Final answer
    x = 1,229,437.87

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.