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Finding the Third Proportional to 306,105 and 482,634

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Solution

The third proportional to 306,105 and 482,634 is: 760,966.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,105 : 482,634 = 482,634 : x
  2. Step 2: Convert to fraction form
    306,105/482,634 = 482,634/x
  3. Step 3: Cross multiply
    306,105x = 482,634 × 482,634
  4. Step 4: Simplify right side
    306,105x = 232,935,577,956
  5. Step 5: Solve for x
    x = 232,935,577,956/306,105
  6. Step 6: Final answer
    x = 760,966.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.