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Finding the Third Proportional to 299,335.08 and 452,112.05

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Solution

The third proportional to 299,335.08 and 452,112.05 is: 682,864.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,335.08 : 452,112.05 = 452,112.05 : x
  2. Step 2: Convert to fraction form
    299,335.08/452,112.05 = 452,112.05/x
  3. Step 3: Cross multiply
    299,335.08x = 452,112.05 × 452,112.05
  4. Step 4: Simplify right side
    299,335.08x = 204,405,302,929.50
  5. Step 5: Solve for x
    x = 204,405,302,929.50/299,335.08
  6. Step 6: Final answer
    x = 682,864.51

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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.