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Finding the Third Proportional to 299,016 and 498,336

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Solution

The third proportional to 299,016 and 498,336 is: 830,520.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,016 : 498,336 = 498,336 : x
  2. Step 2: Convert to fraction form
    299,016/498,336 = 498,336/x
  3. Step 3: Cross multiply
    299,016x = 498,336 × 498,336
  4. Step 4: Simplify right side
    299,016x = 248,338,768,896
  5. Step 5: Solve for x
    x = 248,338,768,896/299,016
  6. Step 6: Final answer
    x = 830,520.00

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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.