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Finding the Third Proportional to 302,716.50 and 474,927

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Solution

The third proportional to 302,716.50 and 474,927 is: 745,105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,716.50 : 474,927 = 474,927 : x
  2. Step 2: Convert to fraction form
    302,716.50/474,927 = 474,927/x
  3. Step 3: Cross multiply
    302,716.50x = 474,927 × 474,927
  4. Step 4: Simplify right side
    302,716.50x = 225,555,655,329
  5. Step 5: Solve for x
    x = 225,555,655,329/302,716.50
  6. Step 6: Final answer
    x = 745,105.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.