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Finding the Third Proportional to 229,407 and 493,965

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Solution

The third proportional to 229,407 and 493,965 is: 1,063,618.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,407 : 493,965 = 493,965 : x
  2. Step 2: Convert to fraction form
    229,407/493,965 = 493,965/x
  3. Step 3: Cross multiply
    229,407x = 493,965 × 493,965
  4. Step 4: Simplify right side
    229,407x = 244,001,421,225
  5. Step 5: Solve for x
    x = 244,001,421,225/229,407
  6. Step 6: Final answer
    x = 1,063,618.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.