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Finding the Third Proportional to 302,751 and 713,668.50

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Solution

The third proportional to 302,751 and 713,668.50 is: 1,682,315.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,751 : 713,668.50 = 713,668.50 : x
  2. Step 2: Convert to fraction form
    302,751/713,668.50 = 713,668.50/x
  3. Step 3: Cross multiply
    302,751x = 713,668.50 × 713,668.50
  4. Step 4: Simplify right side
    302,751x = 509,322,727,892.25
  5. Step 5: Solve for x
    x = 509,322,727,892.25/302,751
  6. Step 6: Final answer
    x = 1,682,315.59

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.