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Finding the Third Proportional to 302,753 and 713,673

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Solution

The third proportional to 302,753 and 713,673 is: 1,682,325.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,753 : 713,673 = 713,673 : x
  2. Step 2: Convert to fraction form
    302,753/713,673 = 713,673/x
  3. Step 3: Cross multiply
    302,753x = 713,673 × 713,673
  4. Step 4: Simplify right side
    302,753x = 509,329,150,929
  5. Step 5: Solve for x
    x = 509,329,150,929/302,753
  6. Step 6: Final answer
    x = 1,682,325.69

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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.