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Finding the Third Proportional to 226,025 and 497,250

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Solution

The third proportional to 226,025 and 497,250 is: 1,093,939.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,025 : 497,250 = 497,250 : x
  2. Step 2: Convert to fraction form
    226,025/497,250 = 497,250/x
  3. Step 3: Cross multiply
    226,025x = 497,250 × 497,250
  4. Step 4: Simplify right side
    226,025x = 247,257,562,500
  5. Step 5: Solve for x
    x = 247,257,562,500/226,025
  6. Step 6: Final answer
    x = 1,093,939.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.