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Finding the Third Proportional to 225,953 and 497,050

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Solution

The third proportional to 225,953 and 497,050 is: 1,093,407.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,953 : 497,050 = 497,050 : x
  2. Step 2: Convert to fraction form
    225,953/497,050 = 497,050/x
  3. Step 3: Cross multiply
    225,953x = 497,050 × 497,050
  4. Step 4: Simplify right side
    225,953x = 247,058,702,500
  5. Step 5: Solve for x
    x = 247,058,702,500/225,953
  6. Step 6: Final answer
    x = 1,093,407.49

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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.