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Finding the Third Proportional to 729,250.50 and 1,153,815

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Solution

The third proportional to 729,250.50 and 1,153,815 is: 1,825,557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,250.50 : 1,153,815 = 1,153,815 : x
  2. Step 2: Convert to fraction form
    729,250.50/1,153,815 = 1,153,815/x
  3. Step 3: Cross multiply
    729,250.50x = 1,153,815 × 1,153,815
  4. Step 4: Simplify right side
    729,250.50x = 1,331,289,054,225
  5. Step 5: Solve for x
    x = 1,331,289,054,225/729,250.50
  6. Step 6: Final answer
    x = 1,825,557.96

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.