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Finding the Third Proportional to 230,574 and 504,888

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Solution

The third proportional to 230,574 and 504,888 is: 1,105,553.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,574 : 504,888 = 504,888 : x
  2. Step 2: Convert to fraction form
    230,574/504,888 = 504,888/x
  3. Step 3: Cross multiply
    230,574x = 504,888 × 504,888
  4. Step 4: Simplify right side
    230,574x = 254,911,892,544
  5. Step 5: Solve for x
    x = 254,911,892,544/230,574
  6. Step 6: Final answer
    x = 1,105,553.50

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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.