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Finding the Third Proportional to 299,012 and 498,330

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Solution

The third proportional to 299,012 and 498,330 is: 830,511.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,012 : 498,330 = 498,330 : x
  2. Step 2: Convert to fraction form
    299,012/498,330 = 498,330/x
  3. Step 3: Cross multiply
    299,012x = 498,330 × 498,330
  4. Step 4: Simplify right side
    299,012x = 248,332,788,900
  5. Step 5: Solve for x
    x = 248,332,788,900/299,012
  6. Step 6: Final answer
    x = 830,511.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.