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Finding the Third Proportional to 748,668.75 and 1,163,611.50

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Solution

The third proportional to 748,668.75 and 1,163,611.50 is: 1,808,532.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,668.75 : 1,163,611.50 = 1,163,611.50 : x
  2. Step 2: Convert to fraction form
    748,668.75/1,163,611.50 = 1,163,611.50/x
  3. Step 3: Cross multiply
    748,668.75x = 1,163,611.50 × 1,163,611.50
  4. Step 4: Simplify right side
    748,668.75x = 1,353,991,722,932.25
  5. Step 5: Solve for x
    x = 1,353,991,722,932.25/748,668.75
  6. Step 6: Final answer
    x = 1,808,532.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.