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Finding the Third Proportional to 316,060 and 480,234

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Solution

The third proportional to 316,060 and 480,234 is: 729,686.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,060 : 480,234 = 480,234 : x
  2. Step 2: Convert to fraction form
    316,060/480,234 = 480,234/x
  3. Step 3: Cross multiply
    316,060x = 480,234 × 480,234
  4. Step 4: Simplify right side
    316,060x = 230,624,694,756
  5. Step 5: Solve for x
    x = 230,624,694,756/316,060
  6. Step 6: Final answer
    x = 729,686.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.