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Finding the Third Proportional to 229,009 and 504,513

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Solution

The third proportional to 229,009 and 504,513 is: 1,111,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,009 : 504,513 = 504,513 : x
  2. Step 2: Convert to fraction form
    229,009/504,513 = 504,513/x
  3. Step 3: Cross multiply
    229,009x = 504,513 × 504,513
  4. Step 4: Simplify right side
    229,009x = 254,533,367,169
  5. Step 5: Solve for x
    x = 254,533,367,169/229,009
  6. Step 6: Final answer
    x = 1,111,455.74

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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.