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Finding the Third Proportional to 230,556 and 504,852

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Solution

The third proportional to 230,556 and 504,852 is: 1,105,482.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,556 : 504,852 = 504,852 : x
  2. Step 2: Convert to fraction form
    230,556/504,852 = 504,852/x
  3. Step 3: Cross multiply
    230,556x = 504,852 × 504,852
  4. Step 4: Simplify right side
    230,556x = 254,875,541,904
  5. Step 5: Solve for x
    x = 254,875,541,904/230,556
  6. Step 6: Final answer
    x = 1,105,482.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.