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Finding the Third Proportional to 229,461.75 and 504,797.06

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Solution

The third proportional to 229,461.75 and 504,797.06 is: 1,110,512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,461.75 : 504,797.06 = 504,797.06 : x
  2. Step 2: Convert to fraction form
    229,461.75/504,797.06 = 504,797.06/x
  3. Step 3: Cross multiply
    229,461.75x = 504,797.06 × 504,797.06
  4. Step 4: Simplify right side
    229,461.75x = 254,820,074,308.63
  5. Step 5: Solve for x
    x = 254,820,074,308.63/229,461.75
  6. Step 6: Final answer
    x = 1,110,512.21

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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.