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Finding the Third Proportional to 310,296 and 675,888

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Solution

The third proportional to 310,296 and 675,888 is: 1,472,221.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,296 : 675,888 = 675,888 : x
  2. Step 2: Convert to fraction form
    310,296/675,888 = 675,888/x
  3. Step 3: Cross multiply
    310,296x = 675,888 × 675,888
  4. Step 4: Simplify right side
    310,296x = 456,824,588,544
  5. Step 5: Solve for x
    x = 456,824,588,544/310,296
  6. Step 6: Final answer
    x = 1,472,221.97

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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.