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Finding the Third Proportional to 229,504 and 500,544

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Solution

The third proportional to 229,504 and 500,544 is: 1,091,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,504 : 500,544 = 500,544 : x
  2. Step 2: Convert to fraction form
    229,504/500,544 = 500,544/x
  3. Step 3: Cross multiply
    229,504x = 500,544 × 500,544
  4. Step 4: Simplify right side
    229,504x = 250,544,295,936
  5. Step 5: Solve for x
    x = 250,544,295,936/229,504
  6. Step 6: Final answer
    x = 1,091,677.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.