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Finding the Third Proportional to 302,751 and 713,669.06

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Solution

The third proportional to 302,751 and 713,669.06 is: 1,682,318.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,751 : 713,669.06 = 713,669.06 : x
  2. Step 2: Convert to fraction form
    302,751/713,669.06 = 713,669.06/x
  3. Step 3: Cross multiply
    302,751x = 713,669.06 × 713,669.06
  4. Step 4: Simplify right side
    302,751x = 509,323,530,769.63
  5. Step 5: Solve for x
    x = 509,323,530,769.63/302,751
  6. Step 6: Final answer
    x = 1,682,318.24

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Why These Related Problems?

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