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Finding the Third Proportional to 299,429.50 and 452,262

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Solution

The third proportional to 299,429.50 and 452,262 is: 683,102.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,429.50 : 452,262 = 452,262 : x
  2. Step 2: Convert to fraction form
    299,429.50/452,262 = 452,262/x
  3. Step 3: Cross multiply
    299,429.50x = 452,262 × 452,262
  4. Step 4: Simplify right side
    299,429.50x = 204,540,916,644
  5. Step 5: Solve for x
    x = 204,540,916,644/299,429.50
  6. Step 6: Final answer
    x = 683,102.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.