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Finding the Third Proportional to 229,596 and 504,632

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Solution

The third proportional to 229,596 and 504,632 is: 1,109,137.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,596 : 504,632 = 504,632 : x
  2. Step 2: Convert to fraction form
    229,596/504,632 = 504,632/x
  3. Step 3: Cross multiply
    229,596x = 504,632 × 504,632
  4. Step 4: Simplify right side
    229,596x = 254,653,455,424
  5. Step 5: Solve for x
    x = 254,653,455,424/229,596
  6. Step 6: Final answer
    x = 1,109,137.16

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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.