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Finding the Third Proportional to 302,757 and 468,786

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Solution

The third proportional to 302,757 and 468,786 is: 725,863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,757 : 468,786 = 468,786 : x
  2. Step 2: Convert to fraction form
    302,757/468,786 = 468,786/x
  3. Step 3: Cross multiply
    302,757x = 468,786 × 468,786
  4. Step 4: Simplify right side
    302,757x = 219,760,313,796
  5. Step 5: Solve for x
    x = 219,760,313,796/302,757
  6. Step 6: Final answer
    x = 725,863.69

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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.