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Finding the Third Proportional to 252,906 and 529,193.50

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Solution

The third proportional to 252,906 and 529,193.50 is: 1,107,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,906 : 529,193.50 = 529,193.50 : x
  2. Step 2: Convert to fraction form
    252,906/529,193.50 = 529,193.50/x
  3. Step 3: Cross multiply
    252,906x = 529,193.50 × 529,193.50
  4. Step 4: Simplify right side
    252,906x = 280,045,760,442.25
  5. Step 5: Solve for x
    x = 280,045,760,442.25/252,906
  6. Step 6: Final answer
    x = 1,107,311.65

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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.