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Finding the Third Proportional to 302,744 and 468,767

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Solution

The third proportional to 302,744 and 468,767 is: 725,836.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,744 : 468,767 = 468,767 : x
  2. Step 2: Convert to fraction form
    302,744/468,767 = 468,767/x
  3. Step 3: Cross multiply
    302,744x = 468,767 × 468,767
  4. Step 4: Simplify right side
    302,744x = 219,742,500,289
  5. Step 5: Solve for x
    x = 219,742,500,289/302,744
  6. Step 6: Final answer
    x = 725,836.02

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.