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Finding the Third Proportional to 252,909.84 and 529,203.38

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Solution

The third proportional to 252,909.84 and 529,203.38 is: 1,107,336.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,909.84 : 529,203.38 = 529,203.38 : x
  2. Step 2: Convert to fraction form
    252,909.84/529,203.38 = 529,203.38/x
  3. Step 3: Cross multiply
    252,909.84x = 529,203.38 × 529,203.38
  4. Step 4: Simplify right side
    252,909.84x = 280,056,212,111.39
  5. Step 5: Solve for x
    x = 280,056,212,111.39/252,909.84
  6. Step 6: Final answer
    x = 1,107,336.15

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.