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Finding the Third Proportional to 251,823 and 531,803.25

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Solution

The third proportional to 251,823 and 531,803.25 is: 1,123,069.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,823 : 531,803.25 = 531,803.25 : x
  2. Step 2: Convert to fraction form
    251,823/531,803.25 = 531,803.25/x
  3. Step 3: Cross multiply
    251,823x = 531,803.25 × 531,803.25
  4. Step 4: Simplify right side
    251,823x = 282,814,696,710.56
  5. Step 5: Solve for x
    x = 282,814,696,710.56/251,823
  6. Step 6: Final answer
    x = 1,123,069.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.